{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logistic Regression Laplace classifier\n",
    "==\n",
    "## Simon Rogers, Feb 2017"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pylab as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate some data with two classes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = np.random.randn(50,2)\n",
    "x[:25,:] += 1.5\n",
    "x[25:,:] += -1.5\n",
    "t = np.zeros((50,1))\n",
    "t[25:] += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gmu1OnNWZhNPDwzozMaHdKyt6qqVFvYcP69zISCIK8kqlkk4dP66ZyUntWVnRckuLevv6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\n/2yaD4GF34BtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c3a3e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "styles = ['ro','bo']\n",
    "classes = np.unique(t)\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use Newton-Raphson to find the $\\mathbf{w}$ that maximises the likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sig_sq = 0.5 # prior variance for w (assuming mean zero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def grad_function(w,x,t,sig_sq):\n",
    "    P = 1.0/(1.0 + np.exp(-np.dot(x,w)))\n",
    "    return (-1.0/sig_sq)*w + np.dot(x.T,t-P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def hess_function(w,x,t,sig_sq):\n",
    "    P = 1.0/(1.0 + np.exp(-np.dot(x,w)))\n",
    "    P = P.flatten() # required for the diagonalisation\n",
    "    return -(1.0/sig_sq)*np.eye(len(w)) - np.dot(x.T,np.dot(np.diag(P*(1-P)),x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "w = np.zeros((2,1)) # Initial guess\n",
    "\n",
    "all_w = []\n",
    "all_w.append(w.flatten())\n",
    "for it in range(10):\n",
    "    w = w - np.dot(np.linalg.inv(hess_function(w,x,t,sig_sq)),grad_function(w,x,t,sig_sq))\n",
    "    all_w.append(w.flatten())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the convergence of the w values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vlqpvmzbwwAMwdiw8+aRPBYqISNxQoIhzQ1sO5YzDzuCSWZeQuyW3VH2vuAIu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\nEVOgEBERkYgpUIiIiEjEFChEREQkYv8P5nIuGdCY9ZcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c40b0d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "all_w = np.array(all_w)\n",
    "for i in range(2):\n",
    "    plt.plot(all_w[:,i])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the Gaussian approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "g_mean = w\n",
    "H = hess_function(g_mean,x,t,sig_sq)\n",
    "g_cov = np.linalg.inv(-H)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample some decision boundaries from this approximation and plot them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5, 5)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XsWH8BmwM2Ygn9j6BvNo8lev/iAuGbB+C4p3FiH00Fi3Zt7v+GYaB3XI7eAR6oCWrBWIv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UQBWEjyVCPjJMEvIXEV5NXUILRchb9TVQguVSPZpBJaq9rVX6kZTNMU6KhRYIhCgUluChTEW8Db\n24D4eDlIOQAD5PI4DB4WiWGervjF1hJFNdUYdPgAXv5lMNyKO2KbycfYPP4kSlcA/vvuwdivdmNU\n4SiYt2m+POTbCtnQ7321K+/KysbnNDW9fr+3peWtvX+JO54WI/hlMtmTAPYCWAAgDMBiALMAdCdZ\nfMlYSfBLSFwHJJGr08E3X4UjqSqcqlAhw0IFnXWtMlBkDqssMXjQvkCBrOMWyI2zrlUCjDC1SILb\nvHzkPiFD67gIvPhlJSacnQAf258xfd0u1LQBap4/gr6/DkOraVfu1HfbOO/3vlaT+flXY35vmaxp\nv/eVhLmNjeT3lrhltCTBHwIglOSbtf+WAcgC8CnJzZeMlQS/hMRNgiQytTX4J0OFo+kqRFSpkGOj\ngsG6Nh+6wAKWmQowwQI1MY5Aoh2gMoFJnyzInkjFc//+hid9p0Pd7TgcPt8MhXcnCA6/YOjHQ5v/\n4nW668v1LisTj20MheL6/N52dpLfW+KO4GoFf7M6gmQymRmAwQA+PL+NJGUy2QkAI5vz3BIS/3Vk\nMhk6WVliQU9LLOgppgKQREqVFofjVThppkK0qwoFvcuAObX9g/PMYUy0A852w9falYi9zxtLg4cD\nh6ZBPfMItJt/BXCVgt9ovOD3vtbAtab83paWDQV0t25X5/e+0VaLEhJ3Cc0dAdIagAmAgku2FwC4\np5nPLSEhcQkymQzdbK3w7lArvDtU7P4nkIgursahsyr4QIW4riqUDM8ArASEYAAWxAHrv5iD7veG\nQPfwL0j63yB0l13FKryiovGLMDVtKKBdXIC+fS+/Cj9fKlVCQuKGuF2hn+dbTTfK4sWLYW9fv1DI\n7NmzMXv27Oa+LgmJuw9SrJjWhMlcXlaGAaWlGHDRfqG8HPHmFgh3dsbX3R/B4pd7Y33wyxj08Ic4\ndCAdq4cOg1tlPp7Ny8So0lIMN1TBrlUroGvXK5vPbW0lv7eExA3i7e0Nb2/vetsqmlK2L6FZffy1\npn4NgJkkf79o+x4A9iRnXDJe8vFLSDTFeb/39QSu1dQ0Pqet7VX7vYt0ZojMehpmtqZIXLcVH7zY\nFsUDZICFAAiAVbE1OusUGOagwMPdFXjAwxY2plKJXwmJW0WL8PGT1MtksnAAEwH8DtQF900E8Glz\nnltCokViNF5oEXqtgWtVVY3PaWHRUFh36QIMGXJ5Ye7gcE0tQtsAMB3+KGQf7kb34Yfw5bpZ2Doy\nGYHFLwLt9ajurkLcPeWIa1uIPbkEsgFFqQ26CQqMaqXAoz0VGN3OBpZX6CkuISHRvNwKU/9WAHtr\nFYDz6XzWAPbcgnNLSNx8SLFrzrXmep/3ezdmZTMxaSiYO3QA+vS5cvT5LfR7y1yfgO2Rn6B5Zj+M\n/t3h+e9Y/Dx+LfZMfhD4xQP6nf0BuRngroZ5v1KwrxZnXNSIcCzAZ0kE4mVwKrdBDxNbjGunwCP3\nKDDQwRYWUtS8hMQto9kFP8mfZTJZawBrAbQDcAbAAySLmvvcEhKX5bzf+1qblJSXX75F6KWrbA+P\nK/u9FYo7wu/d9b6uSFr6P1iOnIXuz6/FT5+8hqeVs9C+SIlv5p9F0frB6HbSgNSdDtAe6gvdIQsA\nRJsOWnSfoge7qZAoUyGotQpBinxsigZkBhnaqG3Q11yBia4KPOCuQF9bG5hJyoCERLMgleyVuLPR\n6xv3e1+NMG/K721jc+2V1s63CL3LzdiqcBXCh4Qj8t05GPhgNmxXAu+FT8Q7xiXIbJ2F3Y+H4cyM\nJ2BvboW5MjkSP4rDib97wmAYDMASAOHqasSTT5pizEQjfLOq4F+oQiJUUHdQAZ2qABNAbpChvcYW\nA23EMsTjnRXoZW0NU0kZkJBokhZTwOdakAT/fxRBEE3g19OkRK1ufE5z8+vrMOboeE1+7/8agl6A\nn8IPn0/4DEuf+geCiRr/rgC+ye2CLfZrYVJji8+n7UHAnJnQ2rnAxcICqzp2RJszUfj4o7MIDBwG\ncgTOKwEdOxJPPSXHsmXi18AvzIi/EtQILlUhzUwFnbsKcNMAcsDEIIebzhZD7RSY7K7ACEcFelhb\nw+QOsJRISNwKJMEvcWs57/e+niYl5eWN+73l8muvtHax31sSCM1CxOgIHKs+hpoVoZjgeBid9gBP\nhciQmGGLXR7vo23KYOyd4IU/H3eFrN8UlBgM6GltjQ2dO+NeMzMcPHgI27cnIjZ2EoDRAKwgWgKA\nJ5+UYdkyoE0b8SuRkgL4hBlwNFmN0yoVsm1UELqqALdqAICZQY7ORjF4cKKrAkPtFOhmZQW59NlL\n/AeRBL/E9aHVXl+TkrKypv3ednbX16hEahHaIkl5OwVJ+5Iw7515COo6EHlWx9HrLcAdgC7FBF+P\nmwc35Rz49vTFzzMikXjfy+hk44g0rRbDFQps8vDABEdHZGZmYt++ffjii1RkZc0CMBbnlQAXF2DW\nLBmWLwfatbtw7poaICoK8DllwLEMFaI0KhS3UgH3qAAXLQDA3GCCe2S2GNtWgbFtxUZFXaysIJOU\nAYm7HEnw/5cxGK4v17u0VBT8jWFtff1+b6lF6F1F4U+FiHsqDjOWzMBP87+FbfyTsIvSoybIDkPS\nK2GaIceup0fBff97yLUpwvbHP0f85BfRyrkPbE1MkFhdjQccHbHRwwMDFQqQRGRkJLy8vPDdd1mo\nqHgJMtl4kKIS0KGDDDNnAsuXi4kOl1JaCoSFAT4ReiizVYjVqaFxrVUG2ovfZ0ujCXqbirECIxxF\nZcDd0lJSBiTuKiTBf6cjCGKrz+tpUqJSNT6nmdn1dRhzdBRzxSUkAFRnVCO0cyh2zt8Jh2kO+LBT\nb8SXv4N+S4E/pw3EPK9ImOeYYuc7neCxZz30RXbYOGMTyiYOQWzXhzHB0RHZNTVIqa7GU23bYp27\nO7paWwMADAYDjh8/Di8vLxw4UAK9/k3I5fdCEEQloH17GWbMAN57T6zy2xgkkJ4OhIYCPpE6+Beo\nkSRTweihAnqogLZiUKeN0RT9rRQY1050EQxRKNDRwkJSBiTuWCTB3xIgxaIr1xNxXlHReItQuVws\nvHKtHcYcHcVVu/SjJnGDkESQcxCSJifh7T5vI+/tPCT82RM16gz0fxtYv+1xbFh1AJYF5vh0Q2t0\nO/Q24D8Y34/7HmcmpyN15NswM3fEI61b45/SUhTo9Zjfvj0+6NQJ7S9SMCsrK3Ho0CF4eXnh33/1\nkMuXQya7D0ajGBjo7CzDo48CK1YAbm6Xv2adDoiJqVUGonQILhHjBdBdBVkPFdhK7OhnL5hhsEKB\nUa1FRWCIQoEO5uaSMiBxRyAJ/ptJTc21m8zPv9frG5/Tzu7qgtQu3Sa1CJVoAcRMj0FlZSXG3DsG\nvz/1O+5r2xGnwwei017AJtcSS19+DHuW7oN1iSU+39EWHiFTYPzqKYR7hOOzxz5H10nv46R5F9zr\n4IDhdnb4MjcXWkHAW66uWNqxIxwu6aSXnZ2NH3/8EV5eXjh71g7m5qtAToBeLyoB7drJMH26aAlw\nd7+6eygvB06dEt0EvrE1CCtXocJZdBHIe6og2Iv/d51gjuEOCgyzt61TBpwlC5hEC0QS/JdiMFy+\nRejlBHt1deNzWllde6qYk5O4Ypf83hJ3MOc2nEPmlky8vuF19G3fFz8+9iNSlU8ip+ZnDHsOKFg8\nBAvbtcefq/6EbaUNvtzVGR1y7EHP1SiWl2PZM8swdPSDCPF4EgUGAe+6ukJH4tOcHFjK5Vjh5oY3\nXFxgdUldBJI4c+YMvLy8sG/fPhQUuMPWdj10urHQ6URh3KYN8PDDwMqVYu2kq4UEMjNFq0BIKBGQ\nUIMobW1KYQ8VTHqqYLQVA1jbyc0x3FGBoQoFBtcqA22kNFCJ28zdKfgFQfRfX0/EeWVl4yc1Nb1+\nv7elZbM+DwmJlkrpiVJET4pGxPcRWJW1CoXvFsJcZkTYP+1gF6lFj01Ezom1eDriKEI3hkJRZYtv\nvxkMx+okmHn+D9VpZtj0yCaUDS/HoAc+xndlQE8bG3zYuTP+Li3FV3l5aGdmBk93dzzn7Nxo4R6D\nwYCTJ0/Cy8sLv/76KzSa3mjdegvU6pHQakUh3Lo18NBDoiWgW7drv0+9Hjh79oIyEJhcg2S56CIw\n6a2C7B4VDFaiMuBiaoHhDqISMLj21eoSy4WERHNyZwv+xx/HIFPTxkulNub3lsmu3+9tYyP5vSUk\nrhFDhQEBjgFw3OmIAcUD8PPjP2NW71koTPkKcdkL0Od9OUy0gOZvf0z+fj6StyXDXmeH7/dOhpXs\nEKw/3wPNn874c9Cf+OrBr7Diwe04aN4P4SoVXu3QAS+1b48tWVnwLizEPVZW2ODhgcdat27S165S\nqfDrr7/Cy8sLJ0+ehJnZCLRp8wnKyoZAoxGFb6tWwLRpohJwzz3Xf++VlcDp06KLICSUCErXoshR\ndBFY9FPB2EUFg4URAOBubomh9hfiBQbZ2jZwY0hI3CzubMHfrRsGubpevd/b3l7ye0tI3GLCeoXB\nYYIDnhn4DNzs3XDwiYMgiaijvVBTkoChLwDZCztA9oE/Rn8+AYWfF8KBDvhp/xxQ+Bi2xz6CevMw\npLdOx+J5i/FIv0fRZ/R7WJtdADsTE3zarRs6W1hgZUYGjpaWYqhCgY0eHpjo6HjZ68rJycG+ffvg\n5eWFmJgY2NtPQJs2HyM/vz/UatHF5uQETJ0qKgG9et3YcyCBnBzRKhAWBoSEEadyqlHdUXQR2AxU\nQddJDb2ZqAx0tbTCELsLysBAW1vYSa4/iZvAnS34W1pwn4SERAMSnk+AOloN352+WPnvShS+Wwg7\nCztUqc/idGhfdPI2g9v3OmT9Ngc1w97HyB0jUf1VNZxMnXDo4Duorl4Gm5R50C6dC5VGjWWzl6G6\nezV2zv4Buyqt8XtJCaa3aoXPunVDanU1lqelIVSlwqTaGgCDFYorXmNUVFRdPEBeXh46dXoIdnYb\nce5cT1RWivEDjo7AlClinYB+/W7OszEagbg4URkIDQVCTxGxFRqwmwqmvVWwHqCCxlUNg4kAGYDu\nVlZ1isAQhQIDbG1hKykDEteIJPglJCSalZzdOUhZmAL3LHe4f+mO7x/9HnP6zwEApIa9iJzSbzH4\nLSsIQjV0vr8hVXDGhJ0TINsjQ1urtvj99w9RXv4KLCoHQbbqQ6jPaLFn3B54j/fGlklb4NptNhal\npKDSaMT6zp3xeocO+LOkBO+lpyNeo8GsNm2wvnNndK+tAXA5jEZjXTzAoUOHoNFoMGjQHJiafoCk\npC4oLxcthvb2F5SAAQNu7vNSq4HwcNEqEBoKhJ4WkC3TAPeoYD1IBYu+aqjaqWGQC5AD6GltXRc4\nOEShQH9bW1jf5U2gJG4MSfBLSEg0K6pIFcIHhWNgwEBMS5wGe0t7/PX0XwAAg0GFsBMusDutRm9P\nIPtpK7T7Og3KzDOYtnsarLys0E7RDkeO7EJx8fOA3hJ23/2A4r1axLjF4O25b2Oy+2TsnPUNPsmv\nxK7cXAxRKPC/7t3Rx8YGXgUFWJ2RgdyaGrzYvj1WubvD5SpT7NRq9SXxAGYYP/4V6HTvIDraFaWl\nYhyBnR0webJYJ6C5fo7y8i64CEJDgbAIAepWojLgOELMJCh3UsMgJ0wA9LaxqacM9LOxgaWkDEjU\nIgl+CYmbBEmpgEsjCAYBAXYB6Ly+M34b8xsW/7MYBUsK4GTlBAAozPZCXMpc9NnaBq3+KkLqt8PR\nZW4Q9sV449lvn4XdPju0d2qPo0d/RGHhPOh0uWgffhjZ7xIqSxUWzlkIrYsW3k97w8JxIBYkJSG+\nqgqLO3aEp7s7TAB8kZuLD8+dQ5Ug4E0XFyxzc4PjNQTP5ebmwtvbG15eXoiKikKrVq3wwAOLUF7+\nKkJDW6OkRPzcFQpg0iRg2TJg2LDmeJoiRiOQmFhfGYiKEyC4VcGsjwpOI1VgdxVK7KpglBGmMhn6\n2tjUZRIMUSjQ18YG5lLM038SSfBLSNwAKpUKK1d+jD/+CIRebwMzsyo8/PBobOy33y4AACAASURB\nVNiwBIqr8C0D/w2FIXJsJMw7mKPVN63gstUFXz70JV4a9BIA8f6jlINQk3sGg9a2h6EqDyUnNsK1\n53JsC96Gt73fhr23PVzbueLYscMoLJyPiopguGt+Qs5LbVBTWoOdE3bi8PDDeG/0e1h57ypsz8nD\n2nPn4Gxujl3dumFKq1aoMBjwSVYWtmZlwUwux3I3Nyx0cblms3hMTAy8vLzw448/Ijc3F926dcOU\nKQuRlzcPPj52KC4Wx9naAvffD7z7LjBq1M1+og3RaIDIyAvxAmFhQEaOEfCogu0Q0TKg66xCkXUV\nBBlgLpOhn61YbGhw7d/eNjYwk5SBux5J8Eu0SO4EYahSqTBy5EzEx78NQXgAgAwAIZf/g549tyI4\n+GCTwv9mKAx3EilLUlB0oAgjM0bi/u/vBwCcmHuibn9VVTxOh/aGu7cFOv5oQMF9Amy9T0OhGIil\nx5diy29bYL/fHu6u7jhx4m8UFr6DwsL9cLffibK3RqEioAJhXcLw3lPvYWj7odg/ez/05m3wanIy\nTpSV4am2bbG9a1e0MzdHgU6H9efO4cvcXLQ2M8Nqd3e84Ox8zQLPaDRCqVTCy8sLBw8eRFVVFUaP\nHo0pU15DUtJMHD1qgaIicayNDXDffcDSpcDo0bcuM7igQFQA6lwEYUBFtRHookbbcSooBqug6ahC\ngaUGAgALmQwDbC9UHhysUKCntXWj9REk7lyuVvCDZIt5ARgEgOHh4ZS4e6isrOTChavo7j6RLi7T\n6e4+kQsXrmJlZeXtvrRGWbhwFeXyvykmatV/yeVHuGjR6kaPq6ysZO/ek2qPFWqPESiX/83evSe1\n2Pu9EQp+KqASStbk1/Cr8K8oXyNnniqv3piU6NfpexTUTB1AAkzc4kKDQU2jYOTcX+fS9HVT2jva\nc/DgwSwtLWFKylIqlWBS3DtMWpREJZQ83OowXRe60n6dPQ+cPUBBEOiVl8fWAQF08PfnVzk5NAoC\nSTJVo+EzZ89SplSyW0gIfyooqNt3rajVav7www984IEHKJfLaW5uzscee4y7dx/liy8a2Lbthe+G\ntTU5bRrp40Ne5+muG6ORTEgg9+4lX3uNHDKENDMjYWmg2cBydno7iz2+j2OH46GUKZWEUkkrX1+O\nCg/noqQkfp+Xxzi1moZbfeESN5Xw8HACIIBBvJysvdzOW/2SBP/dx50oDN3dJ150rZe+BLq739/o\ncderMNzJVGdUUwkli34rYommhKZrTbkzdGe9MXp9JQOPOTBmLWgYPoA1DmBy4BySpM6g49QfptJq\noRXtHOw4YsQIVlZWMitrJ5VKGWNjn2Du3kz6WvlS6aDk9AenE57g/MPzWaWrYlFNDZ+LjyeUSo6N\niGCcWl133jMqFR+MiiKUSg4+dYrHSkoo3IBgy83N5SeffMIBAwYQAJ2cnPjqq6/y4MHTfOUVge3a\n1VcCpk4lT5y49UrAeaqryeBgcvt2cvZsskuX2uuz1tN+XBl7rMpkn/1n6XIyhKhVBmx8fTk2IoKL\nk5P5Y34+E6uqrltpkrj1SIJfokVwpwlDQRDo4jK9CaEvvlxcpjcqQK6kMHTqNPE23FHzIggCA9oF\nMPW9VJLktB+ncfQ3oxuMK8j3plIJFj/iTEMrWxaNAgsLDpAk1TVqDv9qOB0WOtBWYcsxY8ZQrVaz\nsPAQfX0tGRExjqVhOQx2D6avtS83dt9Iiw8s2HN7T0bnR5MkT5aWsltICM18fLg6LY1ao7Hu3L5l\nZRwZHk4olbwvMpJhFRU3fN8xMTFctmwZXV1dCYBdu3alp6cnfX3T+dprpLPzhc/eyop84AHyn39u\nnxJwnqIi8q+/yNWrySlTSCen2uu00bHDQ6Uc8NE5Dvw1li4+wXXKgJ2fHydERnJJSgr3FxQwRaO5\nIQVKovmQBL9Ei+B6V8+3kytfc0MB3rTCUElgFYGJlMtHt3g3x/UQPT2akRMjSZJeUV6EJ3iu/Fy9\nMYIgMDJgOIN/AA1PP04CTFpuzerqTJJkcVUxe3zWg+3fak8bWxvee++9rKqqYnl5IP39nRga2ouV\n2Wk8M/kMlXIlf3P+jR6ve9ByjSW/CPuCgiCw2mDg+2lpNPPx4T0hIfQpK6t3/t+Kitg7NJRQKjkz\nJobxF1kHrheDwcCTJ0/yueeeo62tLQFw1KhR3LVrF6OjS7loEdmhw4Xvg6Ulef/95JEjonn+diMI\nZHIy+cMP5KJF5PDhpLm5eK2mTjp2f7qEI3ZmcOhfMXTxC6pTBhz8/TkxMpLLUlL4S0EB0yVloEUg\nCX6J286NrJ5vJ9drpWioMFQSmETgznFzXA8ZGzLoZ+dHwSiwQltBy/WW3BK4pcE4tTqOPiflTH/O\nhMYZD9NgLWPs78MoCAaS5Lnyc+zwSQd2eacLra2tOXnyZFZXV7OqKoHBwZ0ZGNieleWRTF2RSiWU\n9Gvvx8cnP054go/ue5QlmhKSZKxazVG1K/wX4uNZotPVXYNBELg3L4+dgoIoVyr5UkICs6qrb8pz\nqKqq4r59+zh16lSamJjQzMyMjz76KA8ePMjUVC3feot0cbnwXbKwIO+7j/zjj5ahBJxHqyXDwsid\nO8lnnyW7d79wzfadajjolWJO+CadI45Hs4P/BWWglb8/Hzhzhu+lpvJQYSEzq6tb3P/tux1J8Eu0\nCK5n9Xy7uRCXcOQSgX3ksgK7ocKwqlboX5sCcbW0lB/V0hOlVEJJ9VlxBT3zp5kc/OXgRsemJCym\n7z8yaqYPo6FTe5b3ATNS19XtjymIocMmB/Zf2p+WlpacNm0aa2pqqNXm8dSpwfTzU7Ck5DgLDxbS\nz9aPAe0CuKXLFtqttKPLFhf6ZfiRJI2CwN05ObT382PbgAD+mJ9f73lpjUZuz8pi64AAWvr68t2U\nlHoKwo2Sn5/Pbdu2cdCgQQRAR0dHvvzyywwICGBOjsB33iFdXS98H8zNyQkTyMOHSYPhpl3GTaOk\nhDx6lFy7VgxgbN36wrV37K/luKXFfGBfOkf7RLNdQGCdMtA2IIAPRkXxg7Q0/lZUxByt9nbfyl2N\nJPglWgR3mo//PJWVlVy0aDXd3e+vzUS4n4sWrb7sKr2hwnDz3RwtMUNCX6GnUqZk7re5JMmfY38m\nPMHkkuSGY/UqBv7bmjFrQa5cSUEGps6XsaIipG6MX4YfLddbcszKMTQ3N+ejjz5KnU5HvV7FqKip\n9PExZV7e91SfVTOkewh9bXz5h8sf7D+/P+WecnoqPak36kmSuVotn4iNJZRKPnDmDNM0mnrXU6HX\nc3VaGm39/Gjv58cNGRlU32TJe/bsWS5fvpwdO3YkAHp4eHDVqlVMTk5mfj757rtkx471lYBx48iD\nB1umEkCKLoK0NNLbm1y8mBw1SnRjAKSpKdlngpZT1hVx+q9pHBsYxTYBAXXKQPvAQD4cHc016en8\ns7iY+TU1t/t27hokwS/RIrje1XNL4lpW1jk5OezXbzJNTHoTGHlT3RwtOUMitFcoE15OIElW6apo\ns8GG633XNzq2oOAnMdBvkh2FRW/QaCpj1J4O1OsvBN0djj9M+Ro5H1z9IM3MzPjEE09Qr9fTaNQx\nPv5FKpVgRsaH1JXpGP1INJVQMqhrEJ8b9xzlq+Uc+81YZpZn1s33Z3Ex3YKCaOXry4/OnaPuEtt6\nQU0NFyUl0czHh86BgfwiO7vBmBvFaDTy33//5fPPP0+FQkEAHDFiBD///HMWFxezoIBcvpzs1OnC\nd8TMjBwzhvz5Z1Kvv6mXc9PR6cjwcPKLL8h588iePS/ch8JO4OgZ1Zy5rZCPH03l+LAzdPL3r1MG\nXIOC+GhMDNdnZPBoSQmLJGXgupAEv0SL4XpWz3cS54V3Q8F8c90cLdl6Ev98PE8NOFX376cPPs0+\nX/RpdKwgCIwMHcvgfXIaXniWxr49qXaXMz5ydr1xX4V/RXiCs9fNpomJCZ955hkaDAYKgsD0dE8q\nlWBi4is06HVMX5dOpUzJ0B6h3NlxJ52XO9NxoyMPxR2qm0+l13NxcjLlSiX7hYUxtJHo/nSNhnPj\n4ihTKtklOJje+fnNks6m0Wi4f/9+Tps2rS4e4JFHHuGBAweo1WpZVESuXEm6u1/4jE1NxZX1vn2i\nkL0TKC8njx8nN2wgp09nvZTHjm4Cpz6v4ZyvC/i0TwonhEfS3s+vThnoFBTEmTEx3JiRweMlJSy9\nU276NiIJfokWSUvxS98ojZnc+/adRJnsYLP5+FtyhkTO7hwqTZQ0VIm26d8Tfic8wZiCmEbHq9Xx\n9PnXhOnPgtyzh4KFGTMfB/PyvOqNW++7nvAEF2xcQLlczueff57G2pV4bu43VCpNGB39MA0GNYuP\nFNPfwZ+BroE86nqU4+aMIzzBV/98lRrdBRP/6cpKDjp1ijKlkguTkljZyFI6WqXiw9HRhFLJAadO\n8e/i4mb77hYUFHDHjh0cMmQIAdDBwYELFiygn58fBUFgURH5wQdk5871lYARI8Ro/DtpcSwI5Llz\nogVjyRJy7Fix5gFAmpiQ/foLfPLtKi7wLuBzISkcHxFJxUXKgEdwMJ+IjeXmc+f4b2kpy1u6GeQW\nIwl+CYlmov7KvoLn0/WAyQR6E1hOMaL/fFT/jbs5WnqGRGVkJZVQssxPTKHT6rV02OTA90++3+Qx\nKcnv0veYjJrRXcjNm0mA0dusqNGk1o0RBIGv//U65WvkfGvzW5TJZHz55Zfr7rO4+G/6+trw9Olh\nrKkpoCZFw7C+YfS19mVY/zAuHrKYFqst2OfzPowtiK2bV280cmtmJq19fekSGMhfCwsbvcaA8nKO\niYgglEpOiIxkcHn5zXhcTRIfH8/33nuPbm5uBEB3d3e+//77TExMrL1fMQe/rhhPrcAcNozcs0eM\nyL/T0OvJM2fIL78kX3iB7NOHlMnEe7O1JcdPEPjS2iq++Uc+50cmc2xEBG18feuUgW4hIZx99iw/\nycykb1lZo4rcfwVJ8EtINBMXTO6Np+sBf9ZuPy/8VxO4vzaP//rdHC05Q8KoN9LX2pfntlzI33/h\n8Avs+mnXJpURvV7FQJ+2jF4Pct06GieMpbatCSOVg2k0XpSCZzRw1s+zaLHOgks3LyUALly48CIX\nSzgDAtoxOLgLq6qSaVAbePaps1RCyYixEfy27bf0eNeDVuus+OXpL+tdT0Z1NafVVvebERPD7EYk\npyAI/LO4mH3Dwgilko/GxPDsTagBcDmMRiN9fHz44osv0s7OjgA4bNgw7ty5k0VFRSTFSPu1a8mu\nXesrAUOGkN98I1buu1OprCSVSnLTJnLGjPppkC4u5KOPCVy8Q83lyjy+HJvEUeHhtKpVBmRKJXuE\nhvLZuDhuz8piQHn5TQ/YbKlIgl9Copm4IICbNuWLq/zV9QRzp0733dB5W7KPnyQjxkYwdtaFVfWx\nlGOEJ3g653STxxQU/CwG+o01I319KdjZMv9+GVNTV9Ybp9Vred/e+2i/0Z4fbP6AALhkyZI6Ia7R\npDEk5B4GBLRmRUUIBUFg5tZMKk2UPDX4FE92OMlHZj1CeIKP//w4SzWldXMLgsCfCgroHBhIhZ8f\nP8vObrRmvaG2P4B7cDDlSiWfj4/nuVsgXTUaDX/66Sc+9NBDNDU1pampKR9++GH+/PPPrK49f2mp\n6Efv3v3CalkuJwcNIv/3P/KSZIY7kuxsMdNh2TIx9dHW9sJ99ulDPv+Skau+U9EzNJevJCRy2OnT\ntPDxIZRKypVK9gkL47y4OO7MymJweTk1d6EyIAl+ibuaGzVpX+/x9U3ul1+BA/ffVMHc0jMkUpak\nMMgtqO7feqOebTa34ZJ/ljR5jCAIPBN+L4P3m9Iw5T7Sy4sEGPsBWFbmU29shbaCA3YPYIdPOtDz\nI08C4HvvvVf3Wep0xQwPH0VfXysWFf1Okiz9t5QBbQIY6BrI0yNO07OXJ+1W29FtqxsDMwPrzV+m\n0/HlhARCqeTw06cZpVI1es1ao5GfZmWxTUAALXx8+HZy8i2LQi8sLOTOnTs5bNgwAqC9vT1feukl\n+vr61sU+lJeTGzeS99xTXwkYMIDctYusqroll9rsGAxkTAz59dfkggVk//7ifQJi3MDYseTid43c\nfLCSm2JyuCAhgYNPnaJZrTJgolSyf1gYX4yP5xfZ2QyrqKhX6vlORBL8EncdN5rDfrNy4MUVv5HA\n5X3u4n7jTRXMLTlDouAXsVOfNu+Cufy1P19jx60daRSa/kEVA/1MmT4H5I8/UnhiFvV2pjz9W3vq\ndCX1xuap8uixw4P37LyHnhtE4b9mzZq6/QaDhjExj1GplDMnZzdJsjqzmqeHnKaPhQ9jHouht6M3\nByweQJM1Jlznu44GY/2Vn39ZGXuFhtLUx4fLUlJY1cTKsFKv55r0dCr8/Gjn58d16elU3UL/ckJC\nAt9//326u7sTADt16sSVK1cyISGhbkx5uRg+0aNHfSWgXz/ys8/IZvZY3HLUatLPj9yyhXz8cdLN\n7cL/R2dnMbNgzYdGfnGikttScvhSQgIHnDpF01plwMzHh4NOneKChAT+LyeH4ZWVrLmDlAFJ8Evc\nVdxoDvvNzIG/YHK//IrfxKRvswrmlpAhcfE1VGfWduo7XFS3zTfDl/AEA84FXHaelJRl9D0up6Z3\nKzI1lYJzW5YONWVM9IwG95lcksy2W9py2FfDuHrtagLgpk2bLromA5OSFlGpBFNTRYuAodrA+Bfi\nqYSS0Y9G08fZh8899BxlnjJO2DOB2RXZ9c5RYzRyXXo6LXx86BEczGMl9RWQiymsqeHi5GSa+/iw\nbUAAd2Zl3VJhYTQa6efnx/nz59Pe3p4AOGTIEO7YsYMFBQV14yoqyI8/Jnv1uqAEyGSimfzTT0W/\n+t1Ibq5YEfG998iJE0k7uwv33rMn+dxz5I5dBu4Nq+Cn57L5fHw8+4aFUV4bPGju48Ohp0/z1cRE\nfpObyzMq1U2v8XCzkAS/xF3Fjfq3b6Z//LwSAcyt9eU3NeeqG7vpFkpTlpOKigoGtg9k6ooLUflG\nwcgOn3TgwiMLLzunXq9ikH97Rm80JV9+WawPCzBxEZiT878G40/nnKbth7ac8sMUrnx/JQFw69at\ndfsFQWBm5sdUKsG4uLk0GmsoCAJzdufQx8yHp4edZviYcG5z30ZnT2c6feTE3xJ+a3CexKoq3hsZ\nSSiVfDYujoWXMelnVFfzufh4ypVKdg4O5g/NVAPgclRXV/OXX37h9OnTaWpqShMTE06bNo379++n\n5iJHf0UFuW1b/Qh6mUxUCrZuFfffrRiNZFwc+d135KuvinEQpqbiM7C0FGslLF5M7vE28Je4cu7I\nyuLcuDj2Cg2lrFYZsPT15YjwcL6RlMQ9eXmMVasbjQu51UiCX+Ku4kZz2G92DnxlZSVfeWU5zcy6\nEfijRfrcm4MrWU4iH4pk5H2R9Y5ZfHQx221p18Ckfil1gX4jQAYGkq+/TqOlCcO+t6BaHd9g/PHU\n4zRba8ZnDz7LZcuWEQA/++yzemPy873p42POM2fur6sMWB5UzsAOgQxsH8j4F+N52Powxy0Uc/4X\nHlnIan39gD1BEPhdbi6d/P3p5O/Pb3NzL2ttiVWr+UhtDYB+YWH8qxlrAFyOoqIifvbZZxw+fDgB\n0M7Oji+88AKVSmVdPAAprvQ//ZTs27e+EtCzp2gyv6jJ4V2LRiN+5bZuJZ98sn7NhDZtxP4Ea9eS\nh//R86/MMm7NzOQzZ8/ynpCQurRCa19fjg4P55tJSfTKy2O8Wn3LFT9J8EvcNdxoDntz5sCLPvdV\nLdLn3hxcyXLy2ahv6Kfwo2C48CxDs0MJT/Bk2snLzi0IAs9ETmTwAQsaBvQiy8spdO9GVU9Lng7u\nT6OxYard/pj9lHnKuOSfJVy8eDEB8H//q28hKC1V0s/PnmFh/anV5pAktXlaRoyJoI+ZD5MWJdGv\nrR8XT1xMizUW7L+rP+OLGioahTU1nBMXV5fTn3iFKLmg8nKOq60BMDYigoHNXAPgciQmJvKDDz5g\n586dCYBubm5csWIF4+Li6o1TqUTff79+FwLlADFQcNMmMYXwv0JBgdg58YMPyMmTSQeHC8+je3ex\nc+HOneS/oXoeKyzllnPn+NTZs+x6kTJg6+fHcRERfDs5mfvy85lUVdWsyoAk+CXuKm40h/1W5MC3\nBJ97c3Ol5zil3Ytip77YC1FjgiCw8/bOnP/7/CvOr1bH00dpyvR5MlHShIVRMDFh+jw5k5PfbvSY\nT0M+JTzBLQFb+Prrr1Mmk3HPnj2XzBvLoCBXBgV1pFp9liRprDEy6Y0kKqFk7JOxjBgXwa/af8Uu\nnl1ovcGaX4d/3ehneqykhF2Cg2nh48O16emX9ecLgsAjxcXsX1sDYHp0NGOayBa4FQiCwICAAL78\n8st0cHAgAA4ePJjbt2+vFw9AikrArl1iNsDFSkC3bmLqYFFREye5SxEEMjGR/P578o03yKFDxV4K\ngNhYafhwctEisZri6UQdj5eUctO5c3w8Npadg4PrlAF7Pz/eGxnJd1NS+FNBAVM1mpv22yEJfom7\nipbk478Sd6sCcDWWky7tZ4qd+r7JrXfsihMr6PSRE2sMV057S01dTt8TJtS4W4gt4NasoWAiZ/jn\nYHHx340es+LECsIT3Bu5l/Pnz6dcLue+ffvqjdFqsxkW1o/+/g4sK/Ot2563N4++lr48NfgUk95M\n4hHzI5zxygzCE3zylydZXt1wpa4xGLgiNZWmPj7sGRpK/yvYw42CwB/z8+kRHEyZUsl5cXHMuM0V\ndrRaLQ8ePMhHH32UZmZmNDEx4YMPPkhvb29WXWLNUKvFynqDBtVXArp0EU3gTRQ+vOupriZDQsgd\nO8inn65fTMnJiZwyRay0+NdfZGKejv+UlHBDRgZnxMTQLSioThlw9PfnpDNnuDw1lQcKC5lRXX1d\nvyOS4Je45TSnwLvRHPbmzoFvie1ym4OrsZyE9QljwoKEesdF5UcRnuBfSX9d8RwGg5pBAS6M/sRS\n/OXU6SgMG0atmzWDjrdhTU1+g2MEQeALh1+g6VpT/pX4F+fNm0cTExMeOHCg3ji9vpyRkRPp42PO\ngoKf6rZXhlcyqFMQA1oH8NzmcwxoG8A1Y9ZQsU5B9+3uDM4KbvRao1UqjggPJ5RKLkhIuGIjmRqj\nkZ9nZ7NdQADNfXz4ZlLSZQMGbxXFxcX84osvOHLkSAKgQqHgc889x5MnT9aLByDFOgBff00OHixW\nCjz/+XfuLAq5/IYfz3+K4mLy779JT09y6lSyVav6itLs2eT27WRwMHmusoZHiou5Nj2d06Oj2SEw\nsE4ZaB0QwClRUXw/LY2/FhYy6yqUAUnwS9wSbqXAu9Ec9ubKgW/J7XJvNldjOYl/IZ5h/cPqHScI\nAnt+1pNzDs25qvMUFPxyIdDvp5/IxEQK1lbMfdSKUVFTG/0B1Bv1fGjfQ7TeYM2gc0GcPXs2TU1N\n+dtv9aP1jcYaxsU9S6USzMz8pG67rljHM/efoVKuZNoHaYwYH8F9Tvs4cM1Amqwx4Ub/jY3WIzAI\nAj/Pzqadnx/bBQRwf0HBFX+g1QYD12dk0M7Pj7Z+fvRMT28xNeaTk5O5evVqdunShQDo6urKZcuW\nMTY2tsHYqiry229Fs/fFSoC7O/n++2Iq3X8dQSBTUsgffyTffFNsrmRhIT4nMzOxxPLrr5N795IJ\nCWS2Rss/ioq4Oi2N06Ki2C4goE4ZaBcQwGlRUVydlsY/ioqYe0mJaUnwSzQ7t1Pg3a7KfY3R3G6E\nluQ6uBrLSc6XOVTKlTSo60fxr/FZQ8WHinqd8ppCEASeOTOJwYdtaOjYTgwt37WLBBi1EczK2tHo\ncVW6Ko76ZhRbb27N2LxYzpw5k2ZmZjxy5EiD+VNTV1CpBJOS3qQgiNcqGASmLEsR/f5PxDJlaQqP\nmxzniy+9SJmnjBP3TmRuZePSLFur5WMxMYRSyQejoph+FXVyi3U6vpOcTAsfH7YJCOCOrKwWUz1O\nEAQGBgbylVdeoaOjIwFw4MCB3Lp1K/Py8hqM12hE4TV8eH0lwM2NXLGCzMq6DTfRQqmpIU+dEgMp\n584VgyfPPy8HB3LSJFFx+v13Mj9fYFZ1NQ8XFfH9tDROiYpi64uUgQ6BgZweHc216en89ORJSfBL\nNC8tvXb8raI52uW2ZNfBlSwnqjMqsVOfb32/d0JRAuEJHow7eFXnqapKoI/SjOkvmZOvvSYunaZO\npb61NQMOm1GlOtPocSWaEvb6vBc7bevEjJIMTp8+nRYWFjx+/HiDsdnZX1CplDMmZiYNhgs+94Jf\nCuhr48uwPmHM/TaXAa0DuGPoDjp/6MzWm1tf1mXxW1ERXYOCaO3ry48zM6m/CkGeWV3NF2prAHQK\nCuLevLwWkRd+Hq1Wy0OHDnHGjBl18QBTpkzhjz/+2CAegBSVAC8vcXV7PkceIF1dyaVLyczM23AT\nLZzSUvLYMXLdOvKhh8Q0wostKE88QX7yCRkQQKrVAjOqq3mwsJArUlM56cwZOvr7E19+KQl+ieal\nJfeHv1U0R6rgneQ6aOy+6jr1bT7XYN+A3QM46+dZVz1/aupy+p40o6YDxCiq3FwKrVqxdII9Q0N6\n0GBoPKUuszyTrltd2feLvswvz+fUqVNpZWVFHx+fBmOLig7T19eKERFj6pUIVseqGdIthH72fszb\nm8eIcRH8VfEr7117L+EJLj66mFp9431wK/V6LkpKokyp5MBTp3j6Kj+zOLW6zmrQJyyMvxcVtSiL\nD0mWlJRw9+7dHD16NAHQ1taW8+bN44kTJ2hopLxxdbVo5h41qr4S4OJCvvOOGL8p0RBBINPTyf37\nybffJkePFgsMAaJFZeBAsdbVt9+SZ8+SBoPA3wIDJcEv0Xy09P7wt5KbnSp4N1hSIsZFMGZmTIPt\nm/w30Wq9FVU1V5fSZjCoGRTUkdGf2YvJ5Tqd2KINYMIKMyYmvtLksWcLTR3QXQAAIABJREFUz9Jx\nkyPHfjuWJRUlvP/++2ljY8OAgIblg8vLgxkQ0JqhoT2o0aTXbdeX6xn9cDSVMiXTVqcxZUUK/8W/\nXPr8UpqvNefA3QOZWJzY5DWEVVSwf23517eSk6+6ln9IRQUn1FYMHB0efsWsgdtFamoq16xZw65d\nuxIAXVxcuHTpUsbENPzsSVKrFQXZmDH1lYD27cm33hJ94RJNo9ORERGi1+v55+uXX1YoyKFDJR+/\nRDPTkvvD30putqC+GywpKe+mMMg1qMH29LJ0whPcF72vkaMap7DwAJVKsGiUTCwlR5Lz5tFoa8lg\nb7Cw8Ncmjw3KDKLVeivO2D+DlapKjh8/ngqFgqGhoQ3GVlUlMTi4CwMDnVlZGVG3XTAKTF+TTqVM\nyejp0Sw4UED/Vv78rv937Lq5K2022HBP5J4mlVy90cgt587RyteXbkFB/OMqE+AFQeA/JSUceOoU\noVTyoejoJjsG3m4EQWBwcDBfe+01Ojk5EQD79+/Pjz/+mLlNRPhptWLc5rhxF/LhAbGZzsKFZFLS\nLb6JO5TycvLkSfLDD8nx4yXBL9HM3A0r05vBzUwVvFssKYUHCsVOfTkNTeEjvh7B6d7Tr3quukC/\nP+1ocLAiMzLEqn5ublQPbkV/H0dWVzcdOfZH4h80WWPCBb8vYGVlJUeNGkUHB4dGf2dqagp4+vRQ\n+vnZsqTkaL19xX8W08/ejyHdQ1hysoTho8N5xPIIZ62bRXiCTx98mhXapovcp2k0nBIVRSiVfDw2\ntkFEdlMYBYH7CwrYNSSEstqeAWlXETh4u6ipqeHhw4c5c+ZMmpubUy6Xc/LkyfTy8qK6iXaAWi15\n4AA5fnx9JaBtWzHiPb5hIUWJRpCi+iWanZbeH/5WcjNTBe8GS0p1ltipr/BQw8ou24O302ytGUs1\npVc9X1VVAn18zJj+hkIsnC4IpI8PBZmM6a/bMTLy3rrI/Mb4LvI7whNcrVzN8vJyDhs2jE5OToyK\nimow1mBQMzr6Ifr4mDI397v615FUxdDeofS18WW+d35dBsDGuRup2KCgxw4PhmWHNZjzPIIgcF9+\nPtsGBNDOz4+7srOvuoSrzmjkruxsOgcG0szHhwuTkpjfAmoAXI7S0lJ++eWXHDNmDAHQxsaGc+bM\n4bFjxxqNByDFiPeDB8n77hMr4p3/7rduTb7yCtlIVqFELZLgl7gltOT+8LeLG12N3y2WlMAOgUxZ\n1tBpm1OZQ5mnjN9GfHtN86WmrqDvv+bUtIe4PCTJJUsomJsx7GswI2PjZY/f6L+R8AS/CPuCpaWl\nHDhwINu0acOzZ882GGs06pmQsIBKJZievrbeZ6pX6Rn7RCyVUDJlWQqLfi+iv5M/f+79MwdtHUTT\ntabcHLC50Zz/85TodHwpIYFQKjkqPPyayviqDQZuzMigvZ8fbXx9uSotjRUtpAbA5UhLS+O6devY\nvXt3AmCHDh24ZMmSRpWv89TUiC11J06srwS0akXOn09GR4s6oISIJPglbjkt3fx8p3C3WFJiZsQw\nckJko/sm7JnAyV6Tr2m+ukC/r9uRHTqIvWO1WrJvX2rvaUPfYyasqGjouz+PIAh88+83KfOU8Zez\nv7C4uJh9+/als7MzExMbBugJgsCMjPVUKsGEhPk0GvX19p3bco5KuZJn7j/DyqhKho8M53Hz43xl\nwyuEJzjZazLzVA3z3S/Gt6yM94SE0NTHh++lplLTxCq4MUp0Oi5NSaGlry9b+ftza2Ymq6/h+NuF\nIAgMDQ3lG2+8wdatWxMA+/Xrxy1btjAnJ6fJ43Q6Ma990qT6SoCTE/nCC2RkpKQESIJfQuIO5m6w\npJzbdI5+tvU79Z1n96ndNFljwgJ1QSNHNk1doN+9FmIE2P/ZO+/4pqr3jz/pHrQFyt6rbJE9FEXZ\niOBARATF/UPFgaj4dVG2DAEREWQjgih7yb5J2qQj3XvvvVfaJrn3fn5/3LZQupI2hRTu+/XK66Xc\nc885N03ynPOc5/k8ABAYCN7KCulvdIKHR1/odHW/RxzPYeGphbBaawUmnkFmZiYGDRqErl27IqaO\nkPL09MOQSi0QGPgcdLrqO/O8m3lwc3aDsqcShV6FiPlKcP3vWbQHHTd3RIctHXA1+mqt/VZSznFw\njY+HlVSKfp6euJWn/xEIACSXleH9iAiYMwx6KJU4lJZmUhoA9aHVanHhwgXMnz8f1tbWMDMzw7Rp\n03D06FEU1+MF0WqFynkzZtxRwSMSxG/eegvw8Xk0FwGi4RcRMQGM4QVpqZ6UPCYPDDEoDqr5A56t\nzob5anPs9t5tUJ9CoN90eFxtC9aaAO+K8/TNm8FLJAjcaYuwsDfr7UPDajD16FQ4bnREQHoA0tLS\n4OLigh49eiAhIaHWe3Jzr0EubwUfn9E1agWUJZRBNUoFmY0M6UfTBdd/GzdcGnAJU3ZNAbkSvrz2\nZYMFisJLSqrK+L4ZFoZsA8/vI9RqzA8JATEMBnt54ZwJagDUR35+Pvbt24enn34aRAQ7OzssWrQI\nV69erTMeABAWAZcvC7r4lXnuRICTE/DGG4CX16OzCHighp+IehLRfiKKI6JSIoomIlcismzgPtHw\ni7R4TFl1736iK9aBMWOQuq929+3MYzPx9KGnDe5XrY4UAv1WdhJUTHQ6gGWBp58G29UZ8ouEjIy/\n6u2jqLwIo/aOQqetnRCXF4fk5GT06dMHffr0QXId2rJFRf5QKDrDw6MP1OrqRwNsKYvwt8LBEIOo\nT6KgjlbDZ5wPblvexvc/fQ/LNZYY/cdoROdG1zsvjuexPy0Nbdzc4OzmhiPp6QYbb+/CQkyp0AAY\n7+sLqYlqANRHfHw81q1bhwEDBoCI0KlTJ3zxxRfw9/ev9/3Q6YCrV4X4z7sXAY6OQvU8D4+HexHw\noA3/DCI6QERTiKgXET1PRBlEtLmB+0TDL9KiaUmqe/cD78e8EfFeRK3XDvkfgsRVgpTCFIP7jY39\nH6SMlaDot22b8I/x8eAdHJD/Qm/I5Y4oLa1fEi6zJBP9dvZDv539kFmSiYSEBPTo0QMuLi515p6X\nlSXAy2sQ3NycUVBQXaeA53mk7E6B1FIKv4l+KEssQ/QX0WCIwd8L/0a/7f3QakMrHAs81uDzZWg0\neD00FMQwmOLvj+haZHEb4kZuLkZVaADMCgyEfwv87PE8D29vb3zyySdo3749iAhDhw7Fpk2bkJJS\n/+dGpxMkcOfMAWxt7ywCWrUCXntNkL41kbIIRsPkXP1E9CURxTTQRjT8Ii2ahyUi31hEvBcB72G1\np7fll+XDaq0VtntsN7jfqkC/470Ae/s74u+HDwNEiNzQHr6+E6oF5NVGbF4sOm7piNF/jEZReRFi\nY2PRtWtXDBo0CJmZtccfaLW58PN7CjKZDbKzz9W4XqAogKKTAoouChQoC5B9Lhturd1ws99NLPhj\nAciV8ObZN1FU3rAhvpqbi94eHrCRybA+IQEaAy0Vz/P4JzMTLp6eIIbBwtBQxJiwBkB9aLVaXLp0\nCQsWLICNjQ0kEgmmTJmCw4cPN7igZlngxg3ghReqLwLs7YH58wGp9OFYBJii4V9HRN4NtBENv4nS\nks4KHyQPg+qeMUndJ1Tq0xXXboBfOPECxu0b16i+s7JOC4F+s9sIv+iA4Md9+WVwbZ2gOGWGuLgf\nGuzHP90fDhscMO3oNGhYDSIjI9GpUyc89thjyMnJqfUeli1DSMh8MIwZUlJ+q3G9PK0cvk/4Qmop\nReqeVKjj1PAZ6wOppRQ7tuxAqw2t4LLTBT6pPg3OT82y+DomBuYV+v2KgoIG77kXLcfhj9RUdFEo\nYCGV4qPISKTrKSBkihQUFODAgQN45plnQESwtbXF66+/jv/++w+6BlIbWRa4eRN48UXAzu7O99PO\nDnj5ZeD2baFNS8SkDD8R9SOiAiJ6p4F2ouE3IcSzasN4WFT3jElxUEWlPmnt58wngk+AXAlxeYZX\nahEC/WbA42YHsFYEnK2Q7s3OBjp2hPoZFzC3JcjPlzXY1+2427Baa4XXT78OjucQGhqK9u3bY8SI\nEcirI8qe5zlERy8HwxBiYlaCvydvn9NwiPw4EgwxCH83HLpCHaI/F1z/lxZewsjdI2G5xhI/K3+u\nN+e/Ev+iIozx8YGEYfBhZCQKGpG7r2ZZbEpMRGs3N9jJZPguNrZR/ZgSiYmJ2LBhAwYNGgQiQseO\nHbF8+XL4+vo2+F1jWcHQv/xy9UWAra2wMLhxQzgyaCk0i+Enoo1ExNfz4oio/z33dK0I7turR/8j\niQhPP/005syZU+11/Lj+2t4iTUc8q24cD4PqnjHhWR7yVnIkbqpZqQ8ASjQlsFtvh41u9Yvv1EVl\noF/cun5CzdfKz+XlywAREr/tB6WyO7TahlPk/g39FxJXCT7/73PwPI/AwEC0bdsWY8eORWFh3VK8\nSUnbwDAShIYuAsfVjMRPP5wOqbUUPmN8UJZUhqwzWZA7ySHvJ8cnRz8BuRJmHZulV2ojy/PYmZyM\nVnI5OisUOJWV1aiFZJ5Wi29iY2Erk6Gtmxu2thANgPrgeR4+Pj747LPP0KFDBxARBg8ejI0bNyJJ\njzrALCu4/OfPF44A7l4EzJkjBA2a0iLg+PHjNexkZUaEsQ2/MxH1b+BlcVf7LkQUSUSH9Oxf3PGb\nCOJZdeMQ37ea+D/jj+CXa6/WBgAL/l2Ax39/vNH9x8Z+KwT69bYGli+/c2HpUvB2tlD95YCQkFf0\nMpC/ef8GciVsct8EQNhBtW7dGk888US9eeWZmf9AKrWGv/9k6HQ1XfFFPkVQ9lDCvb078pg8lMaV\nwme0D6RWUhzddhTtN7dHp62dcCP2hl7PnFRWhheCgkAMgzlBQUgsK9PrvntJLS/H0shImDMMuimV\n2J+WBt1DcNit0+lw+fJlvPbaa1XxAM8++ywOHjxY7yKuEo4D5HJgwQIhGLDyO2xjAzz3nLCu1Grv\nw4MYyAN39Vfs9COJ6BgRSfS8RzT8JoJ4Vt04HhbVPWMSszIGiq6KOq+fDT8LciWEZYU1qn8h0K8H\ngs4OAszMgMrfj5ISoF8/aEf0g/QmIS1tv179/XD7B5Ar4ZD/IQCAl5cXHBwcMGnSJKjria7Pz5fD\nza01vL0fq7VokCZLA//J/mDMGSRtSwJbxiLqkygwxEC6UIopB6dA4irByhsroWX1sypnsrLQRaGA\nvUyG7UlJjRbuiVKrsaBCA2CglxdON9KTYIoUFhbi4MGDePbZZyGRSGBra4vXXnsNly9fbjAeABAW\nAW5uwMKFQunbyt9Ba2tBO+DCBUFa2BR40Ol8nSvc+zcqdv0dK18N3CcafhNAPKtuGqasuvcg/mZZ\nZyoq9aXUHkxWpiuD40ZHrGJWNX6MykC/hT2B0aPvRGd5eABmZsj+dBRkMjuo1bWnFt4Nz/N4/8L7\nMF9tjkuRlwAACoUC9vb2mDp1Ksrq2V2XlIRCqewBpbIbiotrejk4HYeYLwV1v9CFoWBLWGSdyoLc\nUQ5FXwXWnFwDizUWGLtvLGLzYvV69gKdDh9HRkLCMBjt4wO/JnzOfIqKMD0gAMQwGOvjg9sGqgia\nOklJSfjpp58wZMgQEBE6dOiAzz77DD4+Pnp9NzhOSANctKj6IsDKCpg+XQgzeZAxkw/a8C+pOO+/\n+8UTEdfAfaLhNxHEs2rjYAqLowcdpFmeWi5U6jtds1JfJUvOLsGAXwc0+v2qCvRjOguKfjt33rn4\nww/gzc0RfLAHVKoR4LiGf5l1nA4v/v0ibNfZwiPZAwAglUpha2uLWbNmobyeX/fy8lSoVMMhlzsh\nL+92rW0yT2ZCZi+D9zBvlMaUojSmFKqRKkitpLjwywX03tEbjhsdcSL4hN7vgUdBAR7z9oY5w2BF\ndDRKmnBmfysvD2N9fEAMg+kBAfA1gUWrMeF5Hn5+fli+fDk6duwIIsKgQYOwYcMGJCbWHo9yLxwH\nKJXAm28KKoGVv4+WlkJRodOngfudOfnAXf2NeYmG33QQz6ofDkwlSFPRVYGYr2vXwgeAK1FXQK4E\n//Tai/rog1odBanUCnG/jhK2Y5UCL1otMGoUWJeekF+1QEzMl3r1V6otxVMHn0LbTW2rjiFu3LgB\na2trzJ07F5p6/Ls6XSECAqZBKrVERkbtgcnFwcXw7OcJt9ZuyLmSA678ThaAx0IPvHbiNZAr4e1z\nb6NEU3sd+3vRchw2JiTARiZDT6USl+tIR9QHnudxOisLAyo0ABaEhDRKSMjU0el0+O+///D666/D\n1tYWRIRnnnkGBw4cQIGeqZM8D3h6CnUC7l4EWFgAzzwD/PMPcD/eOtHwizQJ8az6wWMMb4GpLOCC\nXw6G3yS/Oq9rWS3abmqLb25806RxYmO/g1RqjdJhzsC8eXcuhIcDNjYoeutJMAwhN/eaXv3ll+Vj\n6O6h6L6tO5ILhXP7K1euwMrKCvPmzav3jJjjtAgLWwKGISQmbq7176nN1yJwdiAYCYP4tfHgOR6Z\nJzMhd5DDw8UDv5//HXbr7TDg1wEGLYpiSksxrcJlvyAkpEk5+zqOw/60NHRTKmEhlWJpZCRSW7AG\nQH0UFRXh8OHDmDJlCiQSCWxsbPDqq6/i4sWL0OoZzcfzQn2Ad94RigbdvQiYNAk4cUIIP2kORMMv\n0mRM+az6YcXYbnlTCdJM3JQImb2s1kp9lXxw4QP02tGrSQsellVDqeyBwKsjwBMJkVeV/PorQITY\n3SPh7t4RGo1+lQFTClPQY3sPDP5tMHJLcwEA58+fh4WFBRYuXFhvARme5xEX9z0YhhAVtQw8X7Mt\nz/GIWxUHhhgEvRAEXaEO6ig1VMNVkFpLIftNhuF7hsNqrRV+8fxF7/eH53kcy8hAO3d3tHZzw97U\nVHBNeG9LWRZbEhPRxs0NtjIZvomNRb4phrYbieTkZGzatAlDhw4FEaF9+/b45JNP4O3tbcDfQKgj\n9d57QJs2d7575ubAxInAsWNAPckiBiMa/haCKZwB60NLmWdLxthueVMK0syX5guV+gLr/pW7HXcb\n5ErwTPZs0lhZWWeEQL+PRwA9etzZXnEcMH06+M4d4XnZGYGBs/V+9vDscDhvcsaTB55EqVY4uD11\n6hTMzc2xZMkScA2kwKWm7gXDmCE4+CWwbO0Hv9kXsiF3lMNzgCdKwkrAlrGI/FBw/fsv8scn54Wc\n/+ePP49sdbbe70eOVou3w8NBDIOJfn4Ia+J2M1+rxXexsbCTydDGzQ2bEhNR2sI1AOpDiB8JwIoV\nK9C5c2cQEQYMGIB169bVWc2x9n6EcsEffAC0bVt9ETBhAnDkCKBHpmG9iIbfhHnQwVYipklzuOVN\nJUizqlLfH7VX6gMAlmPRaWsnfP7f500aSxDfmQkPeTewjtbAl3ed6aekAG3aoPyFiWBuE5KTf9W7\nX89kT9itt8PcE3Ohq6gBcPz4cZiZmeH9999v0PhnZ1+ETGYHX98J0GprP3tXR6nhNdgL8lbyqmDI\njBMZkLeSw7O/J/65+g/abW6Hzls743Zc7YGDdXE7Lw8unp6wlErxY1xckwV70srL8VFkJCykUnRR\nKPBHaupDoQFQHyzL4tq1a1i8eDHs7OxQKTi3b98+5BtQBZHnhazTDz8EnJ3v/p4D48cDBw8CjVBm\nFg2/qWIqwVYipkdzuOVN5YwfALyHeSP83fB623x65VN03toZLNc0o1QV6Hd0srClCgi4c/HkSYAI\n6VunQyq1RnFxoN79/hf9HyzWWODd8+9WeQsOHz4MiUSCjz/+uEEPQmGhF9zd28PTs3+d1QN1xTqE\nvBIChhjE/i8WPMtDHamG9zBvyGxk8N3ji2cPPwuJqwTf3fpO75x/AChjWfwQFwdLqRT9PT3BGCFd\nL6a0FAsrKgn29/TEv5mZj4SHsLi4GEePHsW0adNgZmYGa2trzJ8/HxcuXNA7HgAQFgF+fsDHHwPt\n2t35fkokwJgxwL59gL5/JtHwmyim9EMsYjo0l1velII0I96PgPfQ2iv1VaJMUoJcCdJ4aZPHqwr0\nm+QCjBtXvfLKokXgnZwQcGEAvLwG1+l+r42jAUdBroTvbn1X9W9//PEHiAjLly9v8G9UWhoDT89+\ncHfvgKKi2ov08DyPxE2JYMwYBMwIgDZXC7aURcQHEWCIQfDiYKy9uRbmq80xYf8ExOfH6z1/AAgt\nKcGTvr4ghsHb4eHIMcJZvX9REWYGBoIq9ARu5OY2uc+WQmpqKrZs2YJhw4aBiNCuXTssW7YMXl5e\nBn1neR7w9wc++QRo3776ImDkSGDvXqC+RA3R8JsophJsJWJ6NJdb3lSCNNP2p4GRMNAV1R0Jz/M8\nem7viaUXlzZ5vKpAP+kEIdDvt7uq6OXnA926gX16LGSMNSIjPzKo7y2KLSBXwk7PO3oBu3btAhHh\nm2++afDHXqPJgo/POMhk9sjJuVJnu9zruXBr6waP3h4oDhDiIzKOZUBmL4PXQC/clN5Ez+094bTR\nCf+E/GPQM3A8j72pqXCSy9He3R3HMjKMslNn8vIwvmJRMTUgAKqmHly3MAIDA/Hll1+iS5cuICL0\n798fa9asQVycYYWoeB4IDAQ++wzo2LH6ImDECOHjnHWPNIZo+E0QUwq2EjE97oc36EF+toqDhUp9\nebfr91t+ff1rtNvcziAXdl1kZZ0VAv1cpwOOjkDqXTEGt24BRMhfNU9ok33eoL5XXFsBiasEJ0NO\nVv3btm3bQERYtWpVg/ezrBpBQXPBMOb1ygmXxpdCNUIFma0MGccyAADqCDW8H/OGzFaG8P3hmP/P\nfJAr4f0L70OtNSxhPK28HK9WyPVODwhArBFUZ3iex7nsbAz28gIxDOaHhCDiIdQAqA+WZXH9+nW8\n8cYbsLe3BxFh4sSJ2Lt3b50VH+uC54GgIKEUxb2LgGHDBL2qzEzR8JssphJsJWJ6mJJbvjmorNSX\nsDGh3nZ+aX4gV8LV6KtNH7Mi0E/p3h1st/bAq69Wb7B8OXhra0SefhZubs4oL0/Ru2+O57D4zGJY\nrrHEzdibVf/+008/gYiwfv36hvvgdIiM/BAMQ4iLW1XnwowtZRH2ZhgYYhD1WRQ4LQdWzSL83XBB\n/ndJKPYq98J2nS0G7RqEwAz94xYquZyTg55KJWxlMvyUmAitEQL1WJ7HobQ0dFcqYc4weD8iAikP\nqQZAfZSUlODYsWOYMWMGzMzMqnQgzp07V68QVG3wPBAcDKxYAXTuXN2G9O0rGn6TRDzjF6kPU3HL\nNxf+z/oj+MW6K/UBgrF22emCt869ZZQxqwL9zr8ofNGu3OVaLysDBg8GN2wIlNLO8PefDJ7X3+Bp\nWS1mHpsJhw0O8E2787u1evVqEBG2bt3aYB88zyMhYSMYhhAe/jY4rnZPB8/zSP41GVILKfye9oMm\nQzAY6UfTIbOTwWuwF3w8fDDs92GwXmuNXV67DPbwlLAsVkRHw4xhMMzbG55GctOXsSy2JSXB2c0N\nNjIZvo6JQe5DrAFQH2lpafj5558xfPhwEBGcnZ3x0UcfwcPDo1EeuZAQ4KuvgC5dACLR8JskD/uu\nTsR4PIxHPrHfxELRWdHgs/1w+wc4bXRCuc44u8O4uO8hlVpDPf8JoFev6vqpfn6ApSVKly8Ew0iQ\nmLjJoL6LNcUY88cYdNjSATG5giwxz/P47rvvQETYeXfdgHpIT/8TUqklAgNnQqerW+8gX54P947u\nUHRVoNBTMMwlYSXwGuIFmZ0M8YfisezyMpAr4YUTLyBHbbhsr29REUapVJAwDJZFRaHQSIXoC3U6\n/BAXB3uZDK3d3LAxIQHqh1gDoCGCg4Px9ddfo2vXriAiuLi4YPXq1YiN1a9A0738+69o+E2Wh31X\nJyJSF1lnhUp9ZUn1148PzQoFuRLORxh27l4XQqBfTwR6TAJvbQWsXFm9wYYNgJkZUv5eBKnUAoWF\nKoP6zyrJQv9f+6PPL32QUSycw/M8jy+//BJEhD179ujVT17eTcjljlCpRqK8PL3OduWp5fCd4Aup\nlbRKG4FVswh/W3D9h78djjMBZ9B2U1t029atUVkSOo7D9qQk2Mtk6KpQ4My9kWRNIEOjwbKoKFhK\npeisUOD3lBSjHC20VFiWxc2bN7FkyRK0atUKRIQnn3wSe/bsMSgeQDzjbyE8jLs6EZG6KE8TKvVl\n/tuwXO5jux/DwlMLjTZ2VaDfb68LwulBQXcusizwxBPge/eCn2wEPD37QaczbCEenx+Pzls7Y8Se\nESgsF3biPM/j008/BRHh4MGDevVTXBwIhaILPDx61VtGmNNwiFwqKPtFvBcBrlwwnOmH0yGzlcFr\niBcifSIx6dAkmK02w4+3f6wSHjKExLIyPB8UBGIYvBgcjOR6yhIbSmxpKRaHhUHCMOjn6Ym/MzOb\nJCv8MKBWq/HXX39h5syZVfEAL730Es6cOVNvVUhANPwiIiImirK7EjFf1l2pr5L18vWwW2+nd2W6\nhhAC/WZBqewBdtgAQSf17l1mbCzQqhV0S+ZDJrNHePhbBo8RmBEIp41OmHJkStUxBc/zWLp0KSQS\nCf7880+9+ikrS4KX1xC4ubVFQYF7vW3TDqRBai2Fz1gflCULRrkkpAReg7wgs5ch5WgK1kjXwGy1\nGSYenIjEAv3Kzt4Nz/P4NzMTnRUKOMjl2JmcDNaIBjqwuBizKzQARqpUuJabK26KAKSnp2Pbtm0Y\nMWIEiAht2rTB0qVLoVDUflwmGn4RAKJHQcT0CHklBH5P1V2pr5KY3BiQK1VLl2sqanW0EOjHvCn8\n/N3rgt+/HyBC3qFPwTCEjIwTBo8hS5DBeq01Xv33VXAVgYIcx+Gdd96BmZkZTp7U73m02nz4+U2C\nVGqNrKzT9bYt9C6EsrsS7h3ckS8VpGPZkjuZABHvRUAaJUX3bd3R5qc2OB1Wf391UaDT4cPISBDD\nYKyPDwKNWWEGgDw/H09UaAA86+8Pr0dMA6A+QkJC8M0336B79+6P0NnBAAAgAElEQVQgIvTt2xer\nVq1CdHR0VRvR8D/CiLUAREyZxC2JkNnJwOkaPtMd88cYvPT3S0YdXwj0s4L6s1eEuqnpd52l8zww\ndy749u0RIXsRcrkTSkvjDR7jTNgZmK02w7LLy6oW3yzLYvHixTA3N8fZs2f16ofjyhEa+hoYRoLk\n5PqDBDWZGvg/4w/GnEHyjuSqcdMOpkFmK4P3Y95ICUrByydfBrkSll5cWlVwyFAUBQUY4uUFc4bB\n1zExRg3Q43keF7KzMaRCA+Dl4OAmFxZ6mOA4Drdv38bbb78NBwcHEBEmTJiA3bt349atW6LhfxR5\n1GoBiB6Nlke+vKJSX0DDu8WflT/Deq01CsoaUbGkDqoC/VRTwbdzBhbeE0eQmQm0bw9u9kwoFT3g\n6/sEuEacje9R7QG5EtbL7+Tz63Q6vPrqq7C0tMSlS5f06ofnOcTEfAmGIcTEfFlvuiGn4xC9IlrI\n7V8UClYtGOTi4GJ4DRRc/+nH0rFHtQc262ww5LchCM6sP72yLjQch3UJCbCWStHbwwNXjSzRy/I8\njqSno6dSCTOGwbvh4UgyYnzBw4BarcaJEyfw3HPPwdzcHBYWFqLhfxR5FHQCRI9Gy4ZVs2DMGaTu\nrbtSXyXJhckgV8KRgCNGnUN29jkh0O+fz4Qvx7Vr1RucPw8QQb1zJRjGDHFxqxo1zmrpapArYb/v\nHWU+rVaLl156CVZWVrh277j1kJz8CxhGgtDQ18Bx9Qd5ZZzIgMxOBu/HvVEaK+zqdcU6hC4KFVz/\nH0QgMCkQQ34bApt1Nvhd9XujF9FRajUm+/uDGAavh4Yi00BBmoYo5zjsSE5GO3d3WEulWBEdbZTa\nAg8bGRkZWLFihWj4H0Ue9loAj5pH42FFNVyF8Hfqr9RXyVMHn8KsY7OMOr4Q6PcclMqeYKc9DfTp\nA9wrVfvee4C9PZKln4FhzJCf79aocT689CHMVptVS03UaDSYPXs2bGxscPu2/uV1s7JOQSq1hp/f\nJGi19ZeBLQ4shkcfD7i1cUPu1dyq+aTuS4XMRlgU5ITlYOnFpSBXwryT85BX2rhqfXzF7tzZzQ1t\n3NxwIC3N6N64Ip0OrvHxaCWXw1Eux7qEBJQ8whoAtSGe8T+CPAq1AEzVo9GS39MHQcT/RcBriJde\nbXd57YLFGotGCdHUR1Wgn+pDwMoK+Pbb6g2KioA+fcBPGA8/7yehVPZo0NjWBsuxmHdyHmzW2cA9\n8U6EfllZGaZPnw47OzvI5XK9+ysocIebW1t4eQ1BWVlSvW21eVoEzgoEI2GQsCGh6nNaHFgMz/6e\nkLeSI/PvTJwOO43WP7VG923d4ZZo+AKnkmyNBm+GhYEYBpP8/JpFnz9To8FnUVGwkkrR0d0dv6Wk\nQPMIawDcjb6G34xEHhokEglZWqpJ+LvXBsjSUk0SieR+TsuoXLyoIJ6fUes1np9JFy4o7ttciouL\n6dNPV1Hv3lOpe/cXqXfvqfTpp6uouLj4vs2hpeI4zpFKw0qJLWIbbPvK4FeIB09nws8YdQ52dv2o\nR4+VlKQ+QKVr/49oyxai0NA7DRwciI4eJYmXNw397wli2UKKivq/yk2K3pibmdOxl4/RuK7j6PkT\nz1NoljCGjY0NnTt3jsaNG0fPPfcceXp66tWfk9OTNGKEgnheTX5+46mkJKjOtpZtLOmxi49Rz+97\nUvy38RQ6L5TYIpZaDWtFo3xGkfMcZwp7LYyG7hxKfm/7Uc/WPWnS4Um0RraGOJ4z6DmJiNpZWdGR\nQYPoxrBhlKLR0DCVitYkJJCG5w3uqy46WFnRDhcXihw7lma0bUvLoqNpkLc3ncjMJN7Av80jS32r\ngvv9InHH32RMdUdsDEzJo9ESjhxM2QtRElIiVOq7pZ9reerRqZh8ZLLR58Gyanh49EKg/wzw/V2A\niROr5/YDgifAwgK5NwQ9/bQ0/YR47qWgrACP//44uv7ctVoufUlJCSZOnAgnJyf4+Pjo3V95eTpU\nqpGQyx2Ql3ezwfbZ57Ihd5DDa6AXSsKFKHme55G6NxVSaylUI1QojCzEKmYVzFabYdKhSUguTDb8\nQSsoZVl8GxsLC6kUA728IM833FuiD8HFxZhbITA0XKXCfzk5Jv3Zb05EV/8jysNeC8BUqhua6gKr\npQQ+8iwPuYMcCRsS9Gq/33c/JK4SpBWlGX0ulYF+WbfXCH/A/feUyNVohALogwYhwv9NyGT2UKsj\nGzVWWlEaeu3ohYG7BlY7uigqKsL48ePRpk0bBAQE6N2fTleEwMCZkEotkZ7esDiQOkINr0FekDvI\nkXX2jgRvkX8RPPt5Qu4gR+Y/mZDGS9H1565ou6ktzoWfM+wh7yG4uBgTKnLz34uIQF4zBea5FxRg\nop9f1TGDssB4mSAtBdHwP8I8zLUATMXgmmIQZUvwQtyN/2R/BL0Q1HBDALmlubBcY4mdnvoVvDGE\nO4F+PcC+swho00ZI6bubkBDA2hrcpx/D09MFKtUocFzjotejcqLQfnN7jN8/vpoqYX5+PkaNGoV2\n7dohOFj/FDuO0yI8/G0wDCEhYWODu11dkQ7BLweDIQax38WCZ4X2ukIdQhaEgCEGkR9HIis/Cy+c\neAHkSlh2eRnKdI1PpeN4HrtTUuAol6OjuztOZGQ0y66c53lcysnBY97eIIbBC0FBCH2ENABEwy8C\n4MG6e5tjbFPwaJjSkcPdmMqiSF9i/xcLRaeGK/VV8vzx5/HEgSeaZS6lpTGQSq0RF/IF0LYtsHhx\nzUbbtwNEUF/YDanUEjExXzV6PFWqCvbr7TH7r9nQsnd2wLm5uXj88cfRsWNHhIfrl/UACJ/JuLhV\nYBhCZOSH4Pn6o915nkfCxgQwZgwCZwZCm6ut+veU3SmQWkmhGqmCOlqNXV67YL3WGsN+H4awrLDG\nPXAFqeXleCUkBMQwmBUYiPh7MymMBMfzOJaRgd4eHjBjGLwVHo7ER0ADQDT8Ig+E++FqNgWPhqkc\nORg2J9NK5cw+ly1U6kvU7wf5WOAxkCshIT+hWeYTF/ejoOh3dKPwpt2859yc44DJk4Fu3ZAUtBoM\nQ8jNvdHo8a7HXIflGkssObuk2uInKysLQ4YMQefOnavJsepDWtp+MIw5goLmgmUbjqjPvZYLt7Zu\n8OjjUU1QqcivCB59PSB3lCPrVBYCMwIxaNcg2K6zxT7ffU1e1F7IzkZ3pRJ2Mhm2JCZC10xR+RqO\nw6/Jyejg7g4rqRTLo6ORbWSdAVNCNPwi950H4Wp+UB4NU9tdm6oXoj7K0ysq9f3TcKU+ACgqL4LN\nOhtsdt/cLPNh2VJ4ePRCQMAM8E8/Bbi4APfuEpOSACcn8K8vREDAVCgUnaHRNL5c7fGg4yBXwsob\n1csEZ2RkYMCAAejevTvi4+MN6jMn5wpkMnv4+IzTa26lcaVQDVdBZitDxvGMqn/XFegQ8org+o/6\nNApFRUV4/8L7IFfCq/++ivyypgXrFel0+CwqCmYVQXnezajLX6zTYU18PBzkcjjI5VgTH49ineFq\njKaOaPhF7jumZgybE1M4crgXU/RCNISyhxLRK2ruautaoLzyzysYuXdks80nO/u8EOjntxOwtAR+\n/LFmo7/+AoigPbob7u7tEBQ0p0kLqu0e20GuhO0e26v9e0pKCvr27YtevXohKan+fP17KSxUwd29\nAzw9+6G0tOFKiKyaRdhioaBP9PLoqjoKPM8jZZfg+vcZ44PSuFL8E/IPnDY6oef2nlAmKQ2aV22o\nCgsxXKWCGcPgs6goFDWjQc7WaLA8OhpWUik6uLtjZ3LyQ6UBIBp+kftOS3M1NxVTOHK4m5a48AqZ\nHwK/iUKlPn2Oif4N/RfkSojKiWqW+QiBfrOFQL8fVwrG/96zdp4HFiwAWrdGbtAhMAwhJeW3Jo27\n8sZKkCvheNDxav+emJiIXr16oW/fvkhNbVji+G5KS2Ph6dkf7u7tUVjo3WB7nueR/EsyGHMG/s/4\nQ5N5xyVe5FMEj94ekDvJkXUmC/H58ZiwfwLMV5tjvXw9WK5pCno6jsPWpCTYyWTorlTifHZ2k/pr\niMSyMrwdHg4zhkEvDw/8mZ4OzoS8YY1FNPwi95WW6Go2JqbwXKbohWiIpK1JkNnKUJhbqNcxkVqr\nRqsNrbBWtrbZ5lQZ6Bcb+TXQrx8waZJg7O8mNxfo0gWYNg2R4R9BJrNBcXHjit0AwudnydklsFxj\niWsx1fX74+Li0L17dwwcOBAZGRl19FA7Gk02fH0nQCazQ3b2Rb3uyZflw72DO5TdlCj0uuN+1+Zr\nq7IBoj+PhqZMg+9ufQeJqwTPHn4WqUWGLUxqI760FLMCA0EMg3nBwUgtr78mQVMJKSnBi8HBIIbB\nMG9vXGrhGgCi4Re577REV/PDhql5IRoi302o1Pf9a5v19lYsOr0IQ34b0qzzqgr0u3FImMShQzUb\nXb8OEIHb8TO8vYfC23soWLbxUepaVovZf82G/Xp7eKdU36FHR0ejc+fOGDJkCLKyDIspYNlSBAe/\nBIYxQ2rqXr3uKU8ph884H0itpEjbf0c7odIrILWUwmesD0rjS3Er7hY6b+0M503OuBip3+KiPnie\nx9+Zmejo7g5HuRy7U1KafTeuLCjA0xUaABP9/ODeQjUARMMvct9pia7mh5mWsHOprNT3Vtuv9D4m\nuhh5EeRKjS4nq9e87g70W/Q64OwM1OZ+/uQTwMYGJarzkEqtERW1rEnjqrVqjN8/Hu02t0NkTnWR\noPDwcHTo0AGPP/44cg0sgcvzLKKiloFhCHFx3+v12eDKOUR8ECFU8/u/CHDld87CC70L4dHLA26t\n3ZB9PhvZ6mw8f/x5kCvhs/8+Q7mu6Tv1PK0W70dEgBgGE3x9EVzccBnnpsDzPP7LycFwlQrEMJgT\nFISgZh7T2IiGX+S+0xJdzSIPHtUIFVbb7dL7mEjDatD6p9b47tZ3zTqv7OwLQqBf9CFB1Oett2o2\nUquBgQOBkSORErdDKPWrp0u9LnLUORi4ayB67ehVQ6kwODgYzs7OGD16NAoM3JXyPI/ExM1gGEJY\n2BJwnH4Keqn7UiG1ksJ3vC/KU+4YdG2eFsEvVrj+v4gGq2Hxi+cvsFprheF7hiMiO8Kg+dWFPD8f\ng7y8YCGV4n+xsSht5op8HM/jeEYG+nh4QMIweDMsrNn0BoyNWKRH5L7j4OBAHh6nadkyL+rVazp1\n7foC9eo1nZYt8yIPj9Pk4ODwoKcoYoI4jnOkvroORHoWl7Iyt6J5g+bR3yF/V24YmoV27eZQ27az\nKSZ7FXGb1xAdPkwklVZvZGdH9OefREFB1OVANjk7z6HIyLdJo0lv9LjOds50bfE10nE6mvXXLCos\nL6y6NnToULp58ybFxsbSzJkzDSoIJZFIqEePr2jQoOOUlXWcgoNnE8sWNXhfl/e60Ai3EaRJ0ZDP\nKB8qcCsgIqEA0JAzQ6jv9r6UujOVAicF0gedPyCv97yoTFdGI/8YSYf8DzX5b/RU69bkP3o0/dCz\nJ/2cnEyPqVR0Kz+/SX3Wh5lEQgs7dqTwsWNpl4sLXcvLo/7e3vRZdDRlabXNNu59pb5Vwf1+kbjj\nf6hoCa5mkQdP2qE03KbbcJDof0x0I/YGyJWgSlU169yqAv1i/gc8+SQwYABQW8DZ2rWAmRm0sitQ\nKDojIGAqeL5paWIhmSFo/VNrPHP4mRpyuSqVCo6Ojpg4cSJKGiFJm5d3G3K5E1Sq4Sgv1y8oT5Op\ngd8kP0gtpEj+Jbna97vQsxDKHkq4tXFD9sVslGhK8M65d0CuhIWnFqKgzDhn5hFqNSZVnMW/ERaG\nrPsgxlPCslifkABHuRyt5HKsiotDoYlqAIiufhERkRZBSZhQqe/lnu/rfUyk43TosKUDVlxb0ezz\ni4tbJQT6BVwCLCyA1atrNtLpgPHjgb59kZsoHBEkJm5p8tjuie6wWWeDeSfn1UiZ8/DwQKtWrTB5\n8mSUNsIVXVwcBKWyG5TKHigp0U+Kl9NyiP48GgwxCHsjDKz6zpy0uVoEzQkCQwxivooBp+VwPOg4\nHDY4oPeO3vBK8TJ4jrXB8zwOpKWhjZsbnN3ccDg9/b5sMnK0WnwZEwNrqRTt3N2xIzkZ5SamASAa\nfhERkRYBz/GQO8kR+UOkQRkJH1/+GN22dQPXxJ11QwiBfr0REDAd/P++AaysgMhaqvNFRQF2dsD/\n/R9iYr6CVGqJoiL9y+zWxfmI8zBbbYalF5fWMHByuRx2dnaYPn06yhqhRV9Wlgxv78fg5tYa+fly\nve/L+CsDMlsZVMNVKI2/s+jgeR5JPydBaiGF7xO+KEsqQ2xeLMbuGwuLNRbY5L7JaH+vTI0Gi0JD\nQQyDyf7+iFI3LFFsDJLKyvBuhQZAT6USR9LTwZqId1M0/CIiIi2GgKkBCJpzp1KfPjs4t0Q3kCvB\nLdGtOacG4K5Av+TjQJ8+gmZ/bXPcswcgAnfhLFSqUfD0dIFO1/TI8P2++0GuhNXSmt6GW7duwcbG\nBrNnz4amEa5vna4A/v7PQiq1RmbmP3rfVxxQDI/eHnBr64bc69WzDAqUBVB2V8LN2Q05l3OgZbVV\nIkVTj05FenG6wfOsi6u5uejt4QFrqRTrEhLumxJfeEkJXq7QABji5YXz2dkP/HhTNPwiIiIthtjv\nYuHewd2gH06O59D15674+PLHzTizOwQFPS8o+l09J/x0Hj1asxHPA889B3TsCHWCB2Qye4SHv2OU\n8dfL14NcCXt9aubiX716FVZWVnjppZegbUS9e47TIDT0dTCMBElJ2xu+oQJtrhYBMwLAmDFI/Cmx\n2t9Pm6NF4OxAwfW/MgacjsP1mOvotLUT2m9ujytRVwyeZ12oWRYrY2JgXmGE72cevldhIZ719wcx\nDJ7w9YU8v2k1DJqCaPhFRERaDNkXKir1JRjmrv7i6hfosKUDdFzzB1uVlsYKgX6x3wKvvQa0awfk\n5NRsmJ4u5P2/+CLSUg+AYQiZmSebPD7P8/jkyicwW22GM2Fnaly/ePEiLC0tsWDBAugaEXzG8xxi\nY78BwxCio5frHZzIszxiv4sFQwyC5wVDV3RnbJ7jkbg5EYw5A7+JfihPKUdmSSZmHZsFciV8cfUL\naFjjBegFFBdjrI8PiGGwNDIS+Y1YBDUGnudxLTcXIyo0AJ4LDETgA9AAEA2/iIhIi0GTqREq9Z3U\nr1JfJd4p3iBXws3Ymw03NgJCoJ8l1InugJMT8O67tTc8fRogAn/wIEJCXoVc7oSysoQmj8/xHF79\n91VYr7WGLEFW4/qZM2dgbm6OxYsXg21kvntKyi4wjAQhIfPBsvovxLLOZEHuIIfXYC+oI6uftxe4\nF0DZTQn3du7I+S8HHM9hm3IbLNdYYtTeUUatvcDyPH5NToaDXI5OCgX+ycy8by54judxMjMT/Tw9\nIWEYLAoNRex91AAQDb+IiEiLwqOXB6K/MKz+PM/z6PNLH7x3/r1mmlV1qgX6/b5b+AmV1xEU99Zb\ngIMDtJEBUCp7wM9vIjgjeCbKdeWYcmQKnDY6ITAjsMb1kydPwszMDO+88w64Rp53Z2WdhUxmAz+/\np6DV6q8SWBJeAs8BnpA7ypF9vrrSoSZbg8BZgus/9ttYcDoOPqk+6LezH1ptaIWjAbUcnTSB5LIy\nvFRxBj87MBAJjQh+bCxajsOe1FR0VihgKZViWVQUMu5D6qFo+EVERFoUIQtC4Puk4d/9b29+izY/\ntTGqy7g+srMvCoF+mf8KKXyDBgG1/agXFgI9ewJPPYX8HCkYxgzx8bWkAjaCwvJCjNgzAp23dkZ8\nfnyN63/++SckEgmWLq2ZCaAvBQVKuLk5w8trkEHeCl2hrkrRL+7HOPDcnfF5jkfCxgTB9f+0H8pT\ny1FUXoQ3z74JciUsPrMYReXGVfg8m5WFrgoF7GUybEtKgu4+puCpWRYbExLgJJfDXibDD82sASAa\nfhERkRZF0s9JkNnIwGkN+2EOyggCuRIuRV5qppnVMmbQHCiV3cEGeADm5sC6dbU3lMkAiQTYtAlx\ncavAMGYoKHA3yhwyijPQ95e+6P9rf2Sra9YROHDgAIgIn376aaONv1odCQ+P3lAoOqGoyF/v+3iO\nR8L6BDASBoHPBUKbV/2sPV+eD0UXBdzbu1dlBPwZ+CdabWiFfjv7GV2YqVCnw7KoKEgYBiNVKvje\nZ/nwXK0WK2NiYCOTwdnNDduSklDWDNLDomSviIhIi8JxnCPx5Typg9UG3Te0w1Aa3H4w/R36dzPN\nrCb9+u0grTaLEh0uEK1YQbRuHVFMTM2GTz9N9NVXRN9/Tz0L5pCj43gKC1tELFtYs62BdGzVka4t\nvkYF5QU0+/hsKtGWVLv+zjvv0O+//047d+6klStXVm6uDMLOrj+NHOlB1tbdKCDgKcrLu67XfRIz\nCfX8tic9duUxKvIoIt8xvlQSfGd+rZ9qTaMDRlOrka0oaEYQxf8YT4uGLCL///On1jat6YkDT9DP\nyp+JB2/wnGvD0cKCfnVxIY+RI4kFaIyvL62IiaESljVK/w3R1tKSfurbl2LGjaN57dvTV7Gx1N/b\nmw6lpxPLG+cZDaK+VcH9fpG44xcReWRhS1lILaRI2Z1i8L1rpGvQakMrlGrvXyBVfLyrEOiX4y+4\n9KdNqz23v7wcGDYMGDoUpXkRkMudEBr6mtECzvzS/OCwwQEz/pwBLVsziv2XX34BEeH7779v9Bgs\nW4LAwOcglVogPf2wQfeWxpbCe5g3ZHYyZP5dPXizyjNgxsD/GX+Up5VDw2rw5bUvQa6EmcdmIqM4\no9Hzrg0tx2FTYiJsZTL0UCpxqbbMjGYmQq3G/JAQEMNgkJcXzmZlGeXzILr6RUREWhyqkSqELdFP\nPvZuInMiQa6EU6GnmmFWtSME+vURAv0uXxJ+To8fr71xUJCg+LdiBTIyToBhyGADWh+34m7Bco0l\nFp9ZXKsy3pYtW0BEWLNmTaPH4DgdIiLeB8MQEhLWGWSo2BIWoQtDhUp+K6LB6arPMV+aD0VnBdw7\nuCPvZh4A4Gr0VXTY0gEdt3TEtZhrjZ53XcSWlmJ6QACIYfBqSAjSa6vB0MyoCgsxtWIO4319IW2i\nBoBo+EVERFockR9Gwmtg4zTdR+4diVf+ecXIM6qfqkC/rFPA/PlAhw5AXl7tjbduFc77b99GePhb\nkMnsoVYblsVQHydDTkLiKqmzfsG6detARNi0aVOjx+B5HvHxa8AwhIiIDwzKUuB5Hknbk8CYM/Cf\n7A9NVvWASE2mBgHTAsBIGMStigPP8kgvTse0o9NAroSvr39t9ABOnudxLCMD7d3d4SSXY29qKrgH\noL53IzcXoyv0B2YGBsKvkTEIouEXERFpcaQfTgdDDLT5hguvbHLfBJt1NkaPCm+IqkC/5GjA0RH4\n4IPaG3IcMGkS0L07dDnJ8PTsBx+f0eA44xmznZ47Qa6ELYraCwT9+OOPICJs366/Ol9tpKUdglRq\ngaCg58GyhlUHzGPy4N7eHcruShSqCqtd41ke8WvjBdf/ZH+Up5eD4zlsdt8MizUWGLtvLGJyY5o0\n99rI1WrxTng4iGHwpK8vQhtR8bCp8DyPfzMz0d/TE8QwWBgaimgD6w+Ihl9ERKTFURIuVOq7V/td\nH+Lz40GuhL+C/mqGmdVNaWkcZDIbxMb+D9i1S/hZVShqb5yQADg4AG++icJCb0ilFoiJWWnU+Xx3\n6zuQK9WaF8/zPFauXAkiwm+//dakcXJzr0IubwUfnzHQaAwTXipLLoPPWB9IraVIO5hW43re7Two\nOing3tEdebcED4p3ijf6/NIHDhscmu1vzOTlob+nJyylUnwfF9cskfcNoeM4/JGaii4KBSykUnwY\nGYk0PY8hRMMvIiLS4qis1Be/Nr5R90/YPwFzjs8x7qT0ID5+tRDoVxQKjBkDDB0K1CUXe+SI8NP7\n779ITNwEhpEgL894yoM8z+Pd8+/CYo1FrXr4PM/j888/BxFh3759TRqrqMgXCkUneHj0hVptmPoe\nW8Yi4r0IMMQg8sNIcJrq5/6aDA38p/iDMWMQvzoePMujsLwQr59+HeRKeOvcWyjWGF8Wt4xl8WNc\nHCylUrh4euJ2XUc3zUwpy2JzYiLauLnBTibDt7GxKGhAA8BkDD8RWRFRABHxRDSsgbai4RcRecQJ\nmBaAoOeDGm5YC794/gLLNZbIK72/P9YsW1YR6DcNvJ+fkNv/00+1N+Z5YN48oG1b8Kkp8PefDIWi\nCzSamrn4jUXH6TD3xFzYrbeDZ7JnLVPg8dFHH0EikeDIkSNNGqu0NB5eXgPh7t4OhYU1x2qI1L2p\nkFpK4TvBF+Wp1Xe2PMsj3jUejIRBwNQAaDI14Hkeh/0Pw369Pfr/2h9+aX5Nmn9dhJWU4Ck/PxDD\n4K3wcOTcJ93/e8nXavG/2FjYymRo6+aGLYmJKK3DE2FKefybiSilYjIiIiIi9eI4zpGKvIoqNwMG\nMX/wfGJ5ls5GnG2GmdWNubkNubjspPz8G5TTLY7o88+JVq8miour2VgiIdqzh8jKiiTvvkeDBh4h\nntdQZOR7jXrm2rAws6AT807QiE4jaPbx2RSZE3nPFCT066+/0rvvvktvv/02/f134zUQbG170YgR\nCrK1HUABAc9STs4Fg+7v8kEXGi4fTuVJ5eQ7ypcK3AvuzNNcQr1W9aLHbzxOJUEl5DPchwrlhbRk\n+BLy+z8/sre0p/EHxtMOzx1Ge+8qGWRvT9Lhw+mP/v3pXE4ODfT2pmMZGUYfpyFaW1rShj59KGbc\nOHq1Qwf6Ji6O+nt704GmaADUtypo6ouIZhFRKBENJHHHLyIiogfZF4VKfaVxjcvJf/bws5h2dJqR\nZ6UfQUFzoVR2A1uQAXTvDsycWXtuPwBcuSI4XXfvRnb2OTAMISVlt1Hnk1uaiyG/DUGP7T2QUlhT\nH4HjOLz55pswNzfHqVNNS4Vk2TIEB88Dw5g16jk0GRr4PQv6vd0AACAASURBVOUnaDnsSqmRLlie\nVg7/ZwXXf8K6BPAcj3JdOZZfXQ5yJcz+azaySrKa9Ax1kV5ejtdCQ0EMg2kBAYi5j4V37iVKrcaC\nCg2AAZ6eOHWXBsADd/UTUUciSiaiEUTUUzT8IiIi+qDJEir1ZZxonHDLXp+9MFtthswSwwLOjMGd\nQL9vgAsXhJ/Yk/WU5P3wQ8DWFoiMRGTkR5DJbFBSEmLUOSUXJqP7tu4Yunso8stq5omzLIuFCxfC\nwsICFy5caNJYPM8hKuozMAwhNvYbg0VpOC2HqE+jwBCDsCVhYEuru7R5lkfcj3GC6396QFVK4OWo\ny2i3uR06b+2MW3G3mvQM9XElJwc9lUrYyGTYmJAA7X3U/b8X36IizKjQABjj44NbeXkmYfivENH/\nKv5bNPwiIiJ649HbA9GfNy7HPVudDYs1FvjNu2lR642lKtBPHQG89BLQqRNQlzBLSQng4gKMGQO2\nrBBeXoPh7f2YQeVw9SEsKwxtN7XFUwefqlXdUKfTYd68ebCyssJ///3X5PGSkraBYQhhYYsbla6Y\n/mc6ZLYyqEaqUJZQ873IvZ4L9/buUHRRIF8uvLdpRWmYcmQKJK4S/O/m/2pVMTQGJSyLL2NiYM4w\neMzbGx4FBc0yjr7czsvD2AoNgHEnTuhl+CUw4LxCIpFsJKKV9Z0cENEgIppJRPOJaBIAXiKR9CKi\nOCIaDiConv5HEpHv008/TU5OTtWuLVy4kBYuXKj3XEVERFouYQvDqDyxnEYqRzbq/uf+eo5KtCUk\nf1tu5Jk1DMeVk0o1hGxt+9KwtgdIMngw0ZtvEv32W+03eHkRPfkk0Q8/UMmKl8jXdyx16fJ/5OLy\ni1Hn5ZniSZOPTKYZ/WbQv/P/JQszi2rXtVotvfLKK3T9+nW6fPkyTZkypUnjZWX9Q+Hhb5CT01M0\ndOhpsrBwavimuygOKKbQl0KJLWZp8N+Dqe3UttWua9I0FLYwjAoVhdR7bW/qsbIHQQLarNhM39/+\nnsZ0HUPHXz5Ovdv0btJz1IV/cTF9EBVFvsXF9FGXLrShTx9ytLBo+EYjceLECTpx4kTV/6drtRSa\nmUllAQFERKMA+NV5c32rgntfRORMRP0beFkS0Vki0t3z4olIS0SH6ulf3PGLiIggaXsSpNbSGile\n+nLY/zDIlZBcmGzkmelHTs4lMAwhM/NfYMcOQbHPs56I91WrhEwALy8kJ+8EwxBycoxfbfBS5CWY\nrzbH+xfer9UNX15ejpkzZ8LW1hZSqbTJ4+Xny+Dm1hre3sNQXm54DQZtjhYB0wPAmDFI3JxYY86c\njkPsd7FCFcCZgdBkC94Fj2QP9NrRC44bHfF38N9Nfo66YHkeO5KTYS+ToYtCgTNZzRNjoC9eKtWD\nc/UTUTciGnzXayoRcUT0IhF1qec+0fCLiIigQFkAhpgaym56319WAKu1Vtim3GbkmelPZaCfTlMA\njBolFOqpKyVMqxXy/11cwBcXIzBwNtzd26O8vKa4TVOpXBT9ePvHWq+XlpZi6tSpsLe3h6IuISID\nKCkJgVLZHUplt0bFL/Asj9hvYsEQg5D5IdAV18xlz72aC/d27lB0VaDAXXC9F5QVYMG/C0CuhHfP\nv4sSTfOp8SWWlWFOUBCIYfBCUBCSyox7VKMvDzSdD0AKgLDKFxFFE5GEiOIApDXHmCIiIg8PrUa0\nIomlhIq9iht1v5ONEz3n8tx9LdV7L/367SCdLoeSUn4i2ruXKCSE6Jc63PeWlkR//kmUkkKSlStp\n4MBDJJGYU0TEWwQjlaatZMnwJbRp6iZaI19Du1W7a1y3tbWl8+fP06hRo2jWrFmkUqmaNJ69/RAa\nOdKTLCycyc/vScrPlxp0v8RcQn029qEhp4ZQ3n955Dfej0qjS6u1aTujLY0OGE22fWzJf5I/JW1O\nIkcrRzox7wQdmHuAToScoNH7RlNgRmCTnqUuetjY0PmhQ+nUkCHkXVxMg1Uq2pmSQpwBR+n3k/uR\nx1+Jab4DIiIiJoe5jTm1erwVFXkVNbqP14a8Rt6p3hSXX0su/X3A1rY39ejxLSUn/0zqgfZEn3xC\ntGoVUWJi7TcMGEC0dSvR7t1kdcuHBg48Qvn51yklZYfR5/bVE1/R8vHLadmVZXQq7FSN63Z2dnTp\n0iUaOnQoTZ8+nfz9/Zs0nrV1FxoxQk6OjmMoKGgGZWYaviBrP689jfQaSdCBfMf4Us6lnOpjdLWm\nx28/Tj2+6kFxK+MoeG4wsXksvTPiHfJ534esza1p3P5xtMt7V6WH2ahIJBKa1749hY8dS2907Eif\nx8TQBD8/CiwpMfpYTaY+d8D9fpHo6hcREakg8uNIePY3XAmukhJNCezW22GDfIMRZ2UYgqJfXwQE\nTAVfWAh07QrMnl13bj/PAzNmCJkAOTmIjl4BqdQSRUXGV6fjeA6vn34dVmutcDvudq1tCgoKMGbM\nGLRt2xZBQY1TU6w2JqdBWNgbYBhCUtLWRtWg1xXoEDQ3CAxVVPHjavaRcyUHbs5uUHZXokApuP7L\ndGX45MonIFfC3BNzkaPOafLz1IeyoABDvb1hzjD4KiYGJfdB99+UlPtEREREDMZxnCOVRZWRLl/X\nqPvtrexp7oC5D9Tdf0fR7yZll18j+vVXosuXic6cqf0GiYTo4EEijYZo6VLq03sd2dsPpbCwhcRx\naqPOzUxiRodeOESTek6iF/5+gQIyAmq0cXJyomvXrlHPnj1pypQpFB4e3rQxzaxo4MAj1KPHtxQb\n+yXFxHxOAGdQHxZOFjT07FDqtbYXJa5JpJAXQkhXUP0z4jzLmUYHjCbrHtYU8HQAJW1NImtza9o5\nayddeO0CKZIU9Piex0maIG3S89THBCcn8h01itb27k07U1JoqEpFV3Nzm208QxANv4iIiEniOM6R\niIiKVY075ycS3P1BmUEUlh1mrGkZjLPzc+Ts/ALFxn5B7JypRHPnEn36KVFRHccYXboIMQGnTpHZ\niVM0ePAJ0miSKSbmc6PPzcrcik6/epoGtBtAs/6aVeuxSJs2bej69evUqVMnmjx5MkVFRTVpTIlE\nQn36rCcXl98pNXUXhYYuII4rM6wPMwn1+r4XPXbpMSp0LyS/sX6kDq2+MLLpZkPDmeHU7YtuFPdV\nnLBAyNPRnAFzKHBpILk4u9DkI5Pph9s/EMuzTXqmurAy+//27j0uyjJ/+PjnmgHlIASC5wMeU1ED\nQTF/5mbkrrqblWkbuvrL3fKwWVY+1bNlJbm2Vpu2HdZ6zI6bp9zKNFO3BIQ8cUY5iKig4AkVRI4y\nM3yfPwbXPIDCzDgG1/v1mj+c13Vd93duxvne93VfBwPPBwSQPmQIPd3cGLt3L5MzMzlZXe2Q410v\nnfg1Tbspufd2x8XHxabn/GN6jeGWlrewJn2NHSNruAsD/Q4fftV6119SAi++WHeFBx+EKVNg9mw8\nTrvTu/c7HD++nMLCK5/H28qrpRcbJ2/Eq4UXo78YTWF54RVl/P39+fHHH/H19SU8PJxDV9uDoIE6\ndZrFgAHrKCr6nrS0X2MyNfxu2O+3foQkhGBwM5A0NInCtZfGbnA10PP1ngzYMICS7SUkDkqkZFcJ\nnbw78ePUH1lw1wIW/bSIkZ+O5PDZOsZe2EEvDw9+CAri8759+U9REf3i41l+7Bg1Thr8pxO/pmk3\nJaUUXmFeNiX+li4tGd9vPKszVjtkQNf1cnfvRteuL1BQsJhyvwpYsADeew/qGzH/7rtwyy3w8MO0\nbzuNNm0msn//dKqq8u0eX1vPtmyZsoWy6jJ+u+K3lJ6/spelbdu2bN26FQ8PD8LDwzlc1yDFBvD3\nH0dwcAyVldkkJw+nsjK3wW149PIgZGcI/uP8yfx9JgefO0iN+dKZEP73+DM4ZTAtO7UkdUQq+W/l\nY1AGXvzVi2ybto38c/kE/79gvsr8yubPVBelFFPbt2dfWBj3+vkxff9+7kpNZV+5fR/hXA+d+DVN\nu2l5D/WmdHepTUk7on8E+8/sv+oz7BupS5dnadkygAMHnkCeeAKCgmDmTDDX0c3s4wOffQYxMai3\n3+bWW5dhNHqRlTWlwc/Fr0d33+5s/sNmcopyeODLB6i2XNkd3aFDB6KiojAajYSHh3P06FGbj+vt\nHcagQTsRMZOcPIzS0qQGt2H0NNJvZT96Lu5J/pJ89ozZQ/XpS+N36+pG8LZgOj/VmYNzD5I+Ph1T\nsYnhXYeTOjOVu7vfzcS1E5m5YSYVpoo6jmQ7/xYt+LRfP7YGBXGsupqgxEQic3M539id9hpBJ35N\n025a3kO9MZ02UZVb1eg2wruH4+fux+p05w3ygwsD/d61DvQrXmd9jp+aar2zr8tdd8HcufD887hm\nH6VfvxWUlPzE4cOLHBJjUPsgvo34ltjDsUxbN42aq6wh0LlzZ6KiojCbzYSHh3P8+HGbj+vh0YuQ\nkJ24uQWQknInZ85sbnAbSim6zO1C0A9BlKeVkzQ4idLkS3suDK4Gev69JwPWD6Ak1tr1fy7+HL7u\nvqx9cC3L7lnGv/b8i7APw0gvTLf5c9Un3NeXPYMH82yXLrx65AjBiYnEnj177Yp2oBO/pmk3La8w\nLwCbuvtdja5MDJzImow1Tu3uB/DzG4u///0cOPA05pBAmD0bXnoJ8uvpvn/1VejdG6ZMwcc9jICA\neeTlRVJSstMhMY7sNpKVD6xkdfpq5m6Ze9VzFhAQQFRUFOXl5YwaNYpTp07ZfNwWLdoQHByFr284\ne/few/HjHzeqHd+7fAlNCqVFmxakDE/hxOcnrijjP87a9d+iXQtS7kih4O0CAKaHTidxRiJKKYZ8\nOIT3E9536HfG3WhkYY8epA4eTGsXF+5MTeXRffsoMjVuJsv10olf07SbVos2LXDr4WZT4geIGBDB\n4ZLD7D66206RNV7Pnm9hNp/h8OG/wsKF1uf4TzxRdwU3N/jiC8jMhPnzCQh4GW/vMLKyJmM2lzgk\nxgmBE1j6u6W8vftt3tj+Rh2foydbt26lqKiIUaNGccYOU9WMRk/69/+aDh0eJTv7EfLyXmlU4nXr\n6kZwXDBtJ7Vl38P72P/4fmqqL+29cAtwY1DcIDo93okDTx0gY2IGprMmAtsEEv9oPH8K/hOPff8Y\nE76cQFFlkc2frT79PT2JGzSI93v3Zu2pU/SLj2fVyZOOu+iob5L/jX6hF/DRNO0yGZMyJOl2234T\nzBazdHizgzy56Uk7RWWb3Ny/SkyMi5SVZYqsXWvdNuWbb+qv9Npr1s1+YmOlouKQxMZ6S0bG5EYt\ngnO95kfPFyKRj5M/rrNMRkaGtGnTRkJCQqS4ru2HG6impkby8v4m0dFIVtYjYrE0bovdmpoaKXi/\nQGJcYyRpeJJUHau6arnCbwolzidOdnbfecn+EF9nfi2+r/lKlyVdJDYvtlExNNSxqip5MD1diI6W\n0ampcqjiym2U63K9C/g4PdlfEoxO/JqmXSb/H/k27dR3wZObnpQOb3YQs8XxK6hdi9lcKbt29ZKU\nlLulxmKxrubXubPIuXP1VRK54w6Rbt1ESkrkxImVEh2NHD/+ucPirKmpkRnrZ4jxFaNsyN5QZ7m0\ntDRp3bq1hIWFSUlJ4zZWuprjxz+XmBgXSUsbKyZTaaPbObvjrGzvsF22d9guZ7efvWqZikMVkjgk\nUWJcYyT/nfz/XlAdOXtERnw8QgyvGCQyOvKGfX82nDolXXbsEPdt2+SNw4el2nLt779O/JqmNQln\nd9bu1BdvW0LZmb9TiESic6PtE5iNTp/+vnbr3jUiubki7u4iTz1Vf6VDh0RatRL54x9FRCQz838l\nNraVVFQccFicZotZxq8eL+4L3WXHkR11lktKShIfHx8ZPny4lJY2Pklf7syZ/0hsrJckJITK+fMn\nGt1O1bEqSRqeJDGuMVKwtOCqPSWW8xbZ/+R+606AE9PFdNa6E6DJYpLI6EgxvGKQX33yKzly9kij\n42iIUpNJns7JEUN0tATFx0v8NS6q9JK9mqY1Ca2CrTv12fqcf2inoQTcEuD00f0XXBzoNxdzZ394\n5RV45x1ITq67Uvfu1jKffALffEPv3u/h6tqWzMzJ1NQ4ZkCY0WBk5YSVDOk0hN+t/F2dqyCGhISw\nZcsW9uzZw7hx46iosM+UuNatf01wcCzV1cdITh5GRUV2o9pp2aElwVHBdJzZkZzHcsh+JBtL1aXT\nIg0tDPT+R2/6f9Wfoh+KSAxNpDS5FBeDC/NHzifm4RgOFR8i6IMg1u1bZ4+PV69WLi4s6dWL+NBQ\nDEoxNDmZJ3NyKK1rCuh10olf07SbmtHNSKvgVo3eovcCpRQRAyL4d+a/MVkcO2r6elkH+hVZB/o9\n9RT072+d22+pZ57+tGlw330wYwYup8sJDFxFWVkyeXnzHRanm4sb30Z8S2fvzoz+YjT5JVefhRAW\nFsamTZtISEjg/vvvp6qq8dMwf87LK5iQkF0YDO4kJw+npGRHo9oxtDDQ+93e9P2sL4WrCkm5I4Wq\nI1fG2OaBNgxOHoyLjwvJw5I5uvQoIsKIgBGkzUpjZLeRjF8zntkbZ1Npathyw40R6uVFfEgIb/bs\nyfLjxwlMSODb06evXbEOOvFrmnbT8x7qbfMdP1hH95+pPMPW3K12iMp27u7dCAiYR0HBEsqrD1jn\n9iclwdKldVdSCpYtA4MBpk/H22sI3br9lSNHXqO4ONphsfq4+bB5ymaMysiYFWPqHOk+fPhwvvvu\nO3766ScmTJjA+fPn7XJ8N7euDBr0E56e/UlLu5tTp75pdFvt/7c9g7YPwnTaRFJoEsVRxVeUce/h\nTsj2EDrO6EjO7BwyIzIxnzPT2r01X/3+K5b+dikfpXzE0OVDb8heEC4GA3O7dCFjyBBu8/Tk/vR0\nHkhP52gjzq9O/Jqm3fS8hnpRmVOJqci2O/WgdkH08etz03T3A3Tp8gxubt3IyXkcuf12mDUL5s2D\ngoK6K7VtC8uXw3ffwfLldO36LD4+I8nKmtqoNe+vV0evjmyZsoWTZScZt2pcnSvcjRw5kvXr17N1\n61YeeughTHaal+7q6ktQ0H/w87uXjIwJFBS81+i2vEK8CE0MpVVwK9J+nUb+4vwrps8ZWlp7CALX\nBlK0uYik0CRKU0tRSvHnIX8mYXoCFrEweNlgliUtc9z0u5/p5u7OdwMHsiYwkB0lJfSLj+efR49i\nacix6xsAcKNf6MF9mqZdRfn+cokmWk5vsn0P9ZejXhbvRd5Saaq0Q2T2cfr0posD/YqLRdq3F3ng\ngWtXnD5dxNNTJCdHKivzJS6utezdO96hU/xERHYX7BaPVz3knpX3iMliqrPcxo0bxdXVVSZOnCgm\nU93lGqqmxiI5Of9HoqORAweek5qaxs/4sJgscuC5AxJNtGREZIi57Oqj9stzyiVhUILEtIyRox8c\n/e85Lq8ul5kbZgqRyMQvJ0pRRVGjY2mo4upqmblvnxAdLbcnJcnquDg9ql/TtKahpqZG4lrHSW5k\nrs1tZRRmCJHIuqx1tgdmR3v3jpft2zuKyXROZPVq68/z+vX1VyotFenRQ2TYMBGTSQoLv5HoaOTo\n0Q8cHu+mnE3issBF/rTuT/VeaKxbt05cXFxk8uTJYjbbdypcfv4/JDpaSUbGJLFYrj5H/3qd/PKk\nbPPcJvED4qU8p/yqZcyVZsl+LNt6kTApQ0znLl7MrM1YKz6v+UjXt7rK9iPbbYqloeKKi6Xf7t1i\nXLZMJ35N05qOtDFpkjY2zS5t3fb+bRLx7wi7tGUvlZV5sm2buxw48KxITY3I6NEiXbuKlJXVX3H7\ndhGDQWThQhERyc6eJdu2uUtZWYbDY/5X2r+ESOSFH1+ot9zatWvFaDTKtGnTxHId89Eb4uTJtRIT\n01JSUu6S6mrbFhAqSy+TXb13SZxPnJzeWHfv0snVJyXWK1Z29d4lpakXpy7mFefJ8I+Gi/EVoyzc\ntvCGrhlRZbHIrA0bdOLXNK3pODT/kMT5xdmlG/tvsX8Tj1c9pOz8NZLqDZaXt/Diin4HD4q4uYk8\n88y1K86bJ+LiIpKYKGZzueze3U/i44PEbHb844zFOxYLkcjbu96ut9yKFStEKSUzZsyw+6OI4uI4\niYvzlfj4AVJZadsc++riatlzzx6JVtGSuyBXaixXj7V8f7kkBCfINrdtcnTZxa5/k8UkL0W9JCpS\nychPR0pBSYFN8TSEnsd/g61atcrZITQ7+pzfeM48595DvTGfMVN50PbpUw8NeIgKUwXf7f/ODpHZ\nzyUD/bp3h/nzWbV4sXUXv/q8/DLcdhtMmYKxWhEYuIqKiixyc593eMxzh83lmWHP8NTmp+odNDl5\n8mQ++eQTPvzwQ+bMmXPhZs8ufHzuYNCg7ZjNpSQnD6OsbG+j23L1cWVvxF66ze9G3st5pI9Px1xy\n5bx5j94eDNo5iHYPt2P/jP1kTc3CXGbGxeDCgrsWEPVwFPvP7CfogyA2ZG+w5ePZX31XBTf6xS/4\njn/cuHHODqHZ0ef8xnPmOa8+XS3RRMuJLxq/etvPhX0YJvevvt8ubdnTxYF+q0Wqq2Wcl5dIWJh1\nyd76ZGRYewjmzBGRC8+/kdOnv3d4zJYai0z9eqq4LnCVHw7+UG/ZZbXPoefOnWv3O/+qqmOSkDBI\nYmO9pahoa6PbufA9P7XhlMTeEiu7bt0lZRl19w6dWHlCYlvFyq4+u6R0z8Wu/1Plp2TcynFCJDLn\n+zkOH1Cq7/g1TWtSXP1cce/lbpf5/AAR/SP4Pud7Sqocs8NdY/n5jcHff7x1RT9VZb2Tj4+3zvGv\nT2AgvP66dWW/H36gU6c5tG49ln37plFdfdKhMRuUgY/u/YhRPUYxfs14ko/Xvfrg9OnTee+991iy\nZAnz5s2z651/y5YdCA7ehrf3MPbsGcPJkyttas//Hn9CE0JRroqksCQK/1141XLtJrUjNDEUQ0sD\nyWHJHP/oOCKCv4c/30Z8yztj3uGDpA+4ffnt7Du9z6aY7EEnfk3TfjG8hnrZLfH/vv/vMVlMN2Tp\n1Ybq1estzOZi64p+rVvD9Onw/PNw7Fj9FR9/HEaNgmnTUMXF9O37KaDYt28aIjX117WRq9GVtQ+u\nJbBNIGNXjOVA0YE6y86ePZslS5awaNEiFixYYNc4XFy8GDhwA+3a/YGsrD9w5MjrNl1cePT2IGRX\nCH6/8yPzwUwO/uUgYrmyPY8+1nLtprYj+9Fs9j28D0u5BaUUTwx9gvhH4zlvOU/oslA+TvnYrhc8\nDaUTv6ZpvxjeQ70pSy2j5rztSayTdydGBIxgdcbNs5jPBW5uAQQEvEhBwVtYLKXw2mvg5gZPP11/\nRYPBuo5/RQXMnk2LFm3p2/dTioo2U1DwjsPj9mzhycbJG/F182X0F6M5UXaizrJPP/00ixYtIjIy\nkkWLFtk1DoPBlT59PiYg4GUOHfoLOTlPIFLPMsjX4NLKhcDVgfT4ew/y/57PnrF7MJ25clEio7uR\nPsv60O+Lfpz6+hRJQ5IozygHIKh9EInTE5k0YBKPrH+ESV9Nclpvk4tTjlo3N4CsrCxnx9FgJSUl\nJNe3uYZmd/qc33jOPudlt5SRXZ2NWq1oNbCVze39j/F/eCPuDbZ224qvu68dIrSfmppw8vI+4MSJ\nFJJyc1Fz5sCLL8Lw4XDHHfVXfu45eOEFGDgQxoyhpGQymzc/S9++bfH07Ovw2BcPXMy0b6dx56I7\n+XDch7RqcfW/1W9+8xvy8vJ44YUXKCwsZOrUqXaO5D7On68hJuZvpKSk06PHqxiN7tesVef3PBz4\nJyT+JZHUgan0eLMHnn09ryzXD4yfGcn+v9nsCd1Dl790oc29bQB4rPNj9KrqxcJtC+m3qx+L7l7E\nwHYDbfycVj/LnW71lVPO7G64nFJqMrDC2XFomqZp2i/YH0SkzgEON1vi9wNGA3mAfbZ10jRN07Tm\nwQ3oBmwRkTo3bbipEr+maZqmaY6lB/dpmqZpWjOiE7+maZqmNSM68WuapmlaM6ITv6ZpmqY1Izrx\na5qmaVozohO/AymlWiilUpVSNUqp25wdT1OllApQSi1XSh1SSlUopXKUUpFKKVdnx9aUKKVmK6Vy\nlVKVSqldSqkhzo6pqVJKPa+UildKnVNKnVRKfaOUutXZcTUntX+DGqXUEmfHYm868TvWG0AB1t2S\nNMfpCyhgOhAIPA3MAl51ZlBNiVLqIWAxMB8YBKQBW5RS/k4NrOkaAbwLDAVGAa7Af5RS1152TrNZ\n7UXtdKzf8yZHz+N3EKXUWOBNYAKQCQSLyB7nRtV8KKWeAWaJSC9nx9IUKKV2AbtF5MnafysgH3hH\nRN5wanDNQO0FViHwKxH5ydnxNGVKqVZAEvBn4CUgRUTmOjcq+9J3/A6glGoHLAOmAJVODqe58gGK\nnB1EU1D7yCQU2HrhPbHeMfwIDHNWXM2MD9aeQ/2ddrx/AhtEJMrZgTjKzbZJT1PxCbBURFKUUgHO\nDqa5UUr1Ah4HmtRVuhP5A0bg8k3dTwJ9bnw4zUtt78o/gJ9EJNPZ8TRlSqkIIBgY7OxYHEnf8V8n\npdSi2oEedb0sSqlblVJzAC/g9QtVnRj2L9r1nvPL6nQCNgFrRORj50TebCj0+JUbYSnWsSsRzg6k\nKVNKdcZ6gTVFRK7cc7cJ0c/4r1PtBkJ+1yiWC3wJ3HPZ+0bADKwQkT86ILwm6TrP+SERMdeW7whE\nAzv0ebaf2q7+CmCCiKz/2fufAreIyHhnxdbUKaXeA8YBI0TkiLPjacqUUvcBXwMWLt6wGbFe3FqA\nltJEEqZO/HZWe9Xo/bO3OgJbsA7yixeRY04JrImrvdOPAhKAqU3lP+jNoo7BfUewDu77u1ODa6Jq\nk/59wJ0icsjZ8TR1SilP4PJHs58CWcBrIpJ1RaVfKP2M385EpODn/1ZKlWO9ejykk75jKKU6ADFY\nt3N+DmhrzUsgIpc/l9YaZwnwmVIqCYjHOmXSA+sPQl1wxgAAANJJREFUo2ZnSqmlwCTgXqC8dsAw\nQImI6C3LHUBEyrHOwPqv2t/vM00p6YNO/DeKvvt0rN8APWpf+bXvXXj+bHRWUE2JiHxZO6VsAdAO\nSAVGi8gp50bWZM3C+v2Nuez9PwKf3/Bomq8m+dutu/o1TdM0rRnRo/o1TdM0rRnRiV/TNE3TmhGd\n+DVN0zStGdGJX9M0TdOaEZ34NU3TNK0Z0Ylf0zRN05oRnfg1TdM0rRnRiV/TNE3TmhGd+DVN0zSt\nGdGJX9M0TdOaEZ34NU3TNK0Z+f+4idlWFdpsOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c6adc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "\n",
    "w_samps = np.random.multivariate_normal(g_mean.flatten(),g_cov,20)\n",
    "for w_sample in w_samps:\n",
    "#     Plot the line corresponding to w.Tx = 0\n",
    "    xv = np.array([-5,5])\n",
    "    yv = (-w_sample[1]/w_sample[0])*xv\n",
    "    plt.plot(xv,yv)\n",
    "plt.xlim([-5,5])\n",
    "plt.ylim([-5,5])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the decision boundary. We will actually plot probability contours by making a big grid. To get these values, we have to take an expectation over the approximate posterior (the Laplacian) which we in turn approximate by sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gridX,gridY = np.meshgrid(np.arange(-5,5,0.1),np.arange(-5,5,0.1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n_samples = 1000\n",
    "w_samples = np.random.multivariate_normal(g_mean.flatten(),g_cov,n_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the following code is vectorised to make it faster (needs no explicit loops)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nr,nc = gridX.shape\n",
    "gx = np.reshape(gridX,(nr*nc,1))\n",
    "gy = np.reshape(gridY,(nr*nc,1))\n",
    "g = np.hstack((gx,gy))\n",
    "P = (1.0/(1+np.exp(np.dot(g,w_samples.T)))).mean(axis=1)\n",
    "P = np.reshape(P,(nr,nc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x10cc1e490>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mQLHY7h2QB6/iSwgFacZFRnOGPqRgQ/9gRcrBh7vB1w9+bA3rPzftP7VD5Rs3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cc28190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "plt.contour(gridX,gridY,P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
